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Finding the Fourth Proportional to 227,532.44, 341,338.76 and 77,737.52

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Solution

The fourth proportional to 227,532.44, 341,338.76 and 77,737.52 is: 116,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,532.44 : 341,338.76 = 77,737.52 : x
  2. Step 2: Convert to fraction form
    227,532.44/341,338.76 = 77,737.52/x
  3. Step 3: Cross multiply
    227,532.44x = 341,338.76 × 77,737.52
  4. Step 4: Simplify right side
    227,532.44x = 26,534,826,586.89
  5. Step 5: Solve for x
    x = 26,534,826,586.89/227,532.44
  6. Step 6: Final answer
    x = 116,619.97

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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.