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Finding the Fourth Proportional to 157,872, 236,924.88 and 74,766.24

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Solution

The fourth proportional to 157,872, 236,924.88 and 74,766.24 is: 112,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872 : 236,924.88 = 74,766.24 : x
  2. Step 2: Convert to fraction form
    157,872/236,924.88 = 74,766.24/x
  3. Step 3: Cross multiply
    157,872x = 236,924.88 × 74,766.24
  4. Step 4: Simplify right side
    157,872x = 17,713,982,440.05
  5. Step 5: Solve for x
    x = 17,713,982,440.05/157,872
  6. Step 6: Final answer
    x = 112,204.71

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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.