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Finding the Fourth Proportional to 102,586.90, 153,787.47 and 40,240.66

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Solution

The fourth proportional to 102,586.90, 153,787.47 and 40,240.66 is: 60,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.90 : 153,787.47 = 40,240.66 : x
  2. Step 2: Convert to fraction form
    102,586.90/153,787.47 = 40,240.66/x
  3. Step 3: Cross multiply
    102,586.90x = 153,787.47 × 40,240.66
  4. Step 4: Simplify right side
    102,586.90x = 6,188,509,292.53
  5. Step 5: Solve for x
    x = 6,188,509,292.53/102,586.90
  6. Step 6: Final answer
    x = 60,324.56

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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.