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Finding the Fourth Proportional to 233,143.30, 349,714.95 and 100,000.90

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Solution

The fourth proportional to 233,143.30, 349,714.95 and 100,000.90 is: 150,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.30 : 349,714.95 = 100,000.90 : x
  2. Step 2: Convert to fraction form
    233,143.30/349,714.95 = 100,000.90/x
  3. Step 3: Cross multiply
    233,143.30x = 349,714.95 × 100,000.90
  4. Step 4: Simplify right side
    233,143.30x = 34,971,809,743.46
  5. Step 5: Solve for x
    x = 34,971,809,743.46/233,143.30
  6. Step 6: Final answer
    x = 150,001.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.