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Finding the Fourth Proportional to 152,123.32, 209,865.90 and 101,838.52

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Solution

The fourth proportional to 152,123.32, 209,865.90 and 101,838.52 is: 140,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.32 : 209,865.90 = 101,838.52 : x
  2. Step 2: Convert to fraction form
    152,123.32/209,865.90 = 101,838.52/x
  3. Step 3: Cross multiply
    152,123.32x = 209,865.90 × 101,838.52
  4. Step 4: Simplify right side
    152,123.32x = 21,372,432,654.47
  5. Step 5: Solve for x
    x = 21,372,432,654.47/152,123.32
  6. Step 6: Final answer
    x = 140,494.12

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