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Finding the Fourth Proportional to 234,129.92, 351,184.34 and 76,359.74

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Solution

The fourth proportional to 234,129.92, 351,184.34 and 76,359.74 is: 114,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,129.92 : 351,184.34 = 76,359.74 : x
  2. Step 2: Convert to fraction form
    234,129.92/351,184.34 = 76,359.74/x
  3. Step 3: Cross multiply
    234,129.92x = 351,184.34 × 76,359.74
  4. Step 4: Simplify right side
    234,129.92x = 26,816,342,756.75
  5. Step 5: Solve for x
    x = 26,816,342,756.75/234,129.92
  6. Step 6: Final answer
    x = 114,536.17

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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.