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Finding the Fourth Proportional to 359,165.45, 538,750.86 and 159,432.14

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Solution

The fourth proportional to 359,165.45, 538,750.86 and 159,432.14 is: 239,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,165.45 : 538,750.86 = 159,432.14 : x
  2. Step 2: Convert to fraction form
    359,165.45/538,750.86 = 159,432.14/x
  3. Step 3: Cross multiply
    359,165.45x = 538,750.86 × 159,432.14
  4. Step 4: Simplify right side
    359,165.45x = 85,894,199,842.89
  5. Step 5: Solve for x
    x = 85,894,199,842.89/359,165.45
  6. Step 6: Final answer
    x = 239,149.40

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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.