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Finding the Fourth Proportional to 266,253.14, 399,062.00 and 153,695.54

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Solution

The fourth proportional to 266,253.14, 399,062.00 and 153,695.54 is: 230,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,253.14 : 399,062.00 = 153,695.54 : x
  2. Step 2: Convert to fraction form
    266,253.14/399,062.00 = 153,695.54/x
  3. Step 3: Cross multiply
    266,253.14x = 399,062.00 × 153,695.54
  4. Step 4: Simplify right side
    266,253.14x = 61,334,046,819.69
  5. Step 5: Solve for x
    x = 61,334,046,819.69/266,253.14
  6. Step 6: Final answer
    x = 230,359.90

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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.