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Finding the Fourth Proportional to 143,432.24, 197,932.82 and 78,898.12

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Solution

The fourth proportional to 143,432.24, 197,932.82 and 78,898.12 is: 108,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,432.24 : 197,932.82 = 78,898.12 : x
  2. Step 2: Convert to fraction form
    143,432.24/197,932.82 = 78,898.12/x
  3. Step 3: Cross multiply
    143,432.24x = 197,932.82 × 78,898.12
  4. Step 4: Simplify right side
    143,432.24x = 15,616,526,494.98
  5. Step 5: Solve for x
    x = 15,616,526,494.98/143,432.24
  6. Step 6: Final answer
    x = 108,877.38

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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.