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Finding the Fourth Proportional to 154,787.74, 232,182 and 42,469.50

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Solution

The fourth proportional to 154,787.74, 232,182 and 42,469.50 is: 63,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,787.74 : 232,182 = 42,469.50 : x
  2. Step 2: Convert to fraction form
    154,787.74/232,182 = 42,469.50/x
  3. Step 3: Cross multiply
    154,787.74x = 232,182 × 42,469.50
  4. Step 4: Simplify right side
    154,787.74x = 9,860,653,449
  5. Step 5: Solve for x
    x = 9,860,653,449/154,787.74
  6. Step 6: Final answer
    x = 63,704.36

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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.