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Finding the Fourth Proportional to 233,143.10, 349,714.65 and 83,455.10

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Solution

The fourth proportional to 233,143.10, 349,714.65 and 83,455.10 is: 125,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,143.10 : 349,714.65 = 83,455.10 : x
  2. Step 2: Convert to fraction form
    233,143.10/349,714.65 = 83,455.10/x
  3. Step 3: Cross multiply
    233,143.10x = 349,714.65 × 83,455.10
  4. Step 4: Simplify right side
    233,143.10x = 29,185,471,087.22
  5. Step 5: Solve for x
    x = 29,185,471,087.22/233,143.10
  6. Step 6: Final answer
    x = 125,182.65

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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.