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Finding the Fourth Proportional to 359,764.75, 539,553.06 and 106,977.16

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Solution

The fourth proportional to 359,764.75, 539,553.06 and 106,977.16 is: 160,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,764.75 : 539,553.06 = 106,977.16 : x
  2. Step 2: Convert to fraction form
    359,764.75/539,553.06 = 106,977.16/x
  3. Step 3: Cross multiply
    359,764.75x = 539,553.06 × 106,977.16
  4. Step 4: Simplify right side
    359,764.75x = 57,719,854,028.11
  5. Step 5: Solve for x
    x = 57,719,854,028.11/359,764.75
  6. Step 6: Final answer
    x = 160,437.77

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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.