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Finding the Fourth Proportional to 475,737.97, 713,609.34 and 120,752.10

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Solution

The fourth proportional to 475,737.97, 713,609.34 and 120,752.10 is: 181,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,737.97 : 713,609.34 = 120,752.10 : x
  2. Step 2: Convert to fraction form
    475,737.97/713,609.34 = 120,752.10/x
  3. Step 3: Cross multiply
    475,737.97x = 713,609.34 × 120,752.10
  4. Step 4: Simplify right side
    475,737.97x = 86,169,826,384.61
  5. Step 5: Solve for x
    x = 86,169,826,384.61/475,737.97
  6. Step 6: Final answer
    x = 181,128.76

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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.