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Finding the Fourth Proportional to 187,658.50, 281,573.52 and 102,141.24

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Solution

The fourth proportional to 187,658.50, 281,573.52 and 102,141.24 is: 153,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,658.50 : 281,573.52 = 102,141.24 : x
  2. Step 2: Convert to fraction form
    187,658.50/281,573.52 = 102,141.24/x
  3. Step 3: Cross multiply
    187,658.50x = 281,573.52 × 102,141.24
  4. Step 4: Simplify right side
    187,658.50x = 28,760,268,756.56
  5. Step 5: Solve for x
    x = 28,760,268,756.56/187,658.50
  6. Step 6: Final answer
    x = 153,258.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.