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Finding the Fourth Proportional to 234,564.69, 351,713.71 and 92,332.86

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Solution

The fourth proportional to 234,564.69, 351,713.71 and 92,332.86 is: 138,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,564.69 : 351,713.71 = 92,332.86 : x
  2. Step 2: Convert to fraction form
    234,564.69/351,713.71 = 92,332.86/x
  3. Step 3: Cross multiply
    234,564.69x = 351,713.71 × 92,332.86
  4. Step 4: Simplify right side
    234,564.69x = 32,474,733,520.39
  5. Step 5: Solve for x
    x = 32,474,733,520.39/234,564.69
  6. Step 6: Final answer
    x = 138,446.81

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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.