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Finding the Fourth Proportional to 109,800.24, 151,369.20 and 77,957.52

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Solution

The fourth proportional to 109,800.24, 151,369.20 and 77,957.52 is: 107,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,800.24 : 151,369.20 = 77,957.52 : x
  2. Step 2: Convert to fraction form
    109,800.24/151,369.20 = 77,957.52/x
  3. Step 3: Cross multiply
    109,800.24x = 151,369.20 × 77,957.52
  4. Step 4: Simplify right side
    109,800.24x = 11,800,367,436.38
  5. Step 5: Solve for x
    x = 11,800,367,436.38/109,800.24
  6. Step 6: Final answer
    x = 107,471.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.