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Finding the Fourth Proportional to 359,166.45, 538,752.36 and 159,433.14

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Solution

The fourth proportional to 359,166.45, 538,752.36 and 159,433.14 is: 239,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,166.45 : 538,752.36 = 159,433.14 : x
  2. Step 2: Convert to fraction form
    359,166.45/538,752.36 = 159,433.14/x
  3. Step 3: Cross multiply
    359,166.45x = 538,752.36 × 159,433.14
  4. Step 4: Simplify right side
    359,166.45x = 85,894,980,437.21
  5. Step 5: Solve for x
    x = 85,894,980,437.21/359,166.45
  6. Step 6: Final answer
    x = 239,150.90

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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.