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Finding the Fourth Proportional to 228,715.92, 342,934.95 and 102,332.61

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Solution

The fourth proportional to 228,715.92, 342,934.95 and 102,332.61 is: 153,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.92 : 342,934.95 = 102,332.61 : x
  2. Step 2: Convert to fraction form
    228,715.92/342,934.95 = 102,332.61/x
  3. Step 3: Cross multiply
    228,715.92x = 342,934.95 × 102,332.61
  4. Step 4: Simplify right side
    228,715.92x = 35,093,428,493.72
  5. Step 5: Solve for x
    x = 35,093,428,493.72/228,715.92
  6. Step 6: Final answer
    x = 153,436.75

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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.