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Finding the Fourth Proportional to 376,155.78, 564,267.51 and 106,287.24

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Solution

The fourth proportional to 376,155.78, 564,267.51 and 106,287.24 is: 159,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,155.78 : 564,267.51 = 106,287.24 : x
  2. Step 2: Convert to fraction form
    376,155.78/564,267.51 = 106,287.24/x
  3. Step 3: Cross multiply
    376,155.78x = 564,267.51 × 106,287.24
  4. Step 4: Simplify right side
    376,155.78x = 59,974,436,259.57
  5. Step 5: Solve for x
    x = 59,974,436,259.57/376,155.78
  6. Step 6: Final answer
    x = 159,440.42

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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.