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Finding the Fourth Proportional to 143,123.31, 197,512.11 and 78,595.89

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Solution

The fourth proportional to 143,123.31, 197,512.11 and 78,595.89 is: 108,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,123.31 : 197,512.11 = 78,595.89 : x
  2. Step 2: Convert to fraction form
    143,123.31/197,512.11 = 78,595.89/x
  3. Step 3: Cross multiply
    143,123.31x = 197,512.11 × 78,595.89
  4. Step 4: Simplify right side
    143,123.31x = 15,523,640,071.23
  5. Step 5: Solve for x
    x = 15,523,640,071.23/143,123.31
  6. Step 6: Final answer
    x = 108,463.39

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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.