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Finding the Fourth Proportional to 102,644.30, 153,966.45 and 97,832.90

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Solution

The fourth proportional to 102,644.30, 153,966.45 and 97,832.90 is: 146,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.30 : 153,966.45 = 97,832.90 : x
  2. Step 2: Convert to fraction form
    102,644.30/153,966.45 = 97,832.90/x
  3. Step 3: Cross multiply
    102,644.30x = 153,966.45 × 97,832.90
  4. Step 4: Simplify right side
    102,644.30x = 15,062,984,306.21
  5. Step 5: Solve for x
    x = 15,062,984,306.21/102,644.30
  6. Step 6: Final answer
    x = 146,749.35

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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.