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Finding the Fourth Proportional to 359,449.10, 539,285.51 and 106,730.91

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Solution

The fourth proportional to 359,449.10, 539,285.51 and 106,730.91 is: 160,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,449.10 : 539,285.51 = 106,730.91 : x
  2. Step 2: Convert to fraction form
    359,449.10/539,285.51 = 106,730.91/x
  3. Step 3: Cross multiply
    359,449.10x = 539,285.51 × 106,730.91
  4. Step 4: Simplify right side
    359,449.10x = 57,558,433,232.11
  5. Step 5: Solve for x
    x = 57,558,433,232.11/359,449.10
  6. Step 6: Final answer
    x = 160,129.58

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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.