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Finding the Fourth Proportional to 266,023.30, 399,294.15 and 133,053.70

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Solution

The fourth proportional to 266,023.30, 399,294.15 and 133,053.70 is: 199,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,023.30 : 399,294.15 = 133,053.70 : x
  2. Step 2: Convert to fraction form
    266,023.30/399,294.15 = 133,053.70/x
  3. Step 3: Cross multiply
    266,023.30x = 399,294.15 × 133,053.70
  4. Step 4: Simplify right side
    266,023.30x = 53,127,564,045.86
  5. Step 5: Solve for x
    x = 53,127,564,045.86/266,023.30
  6. Step 6: Final answer
    x = 199,710.19

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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.