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Finding the Fourth Proportional to 117,132.75, 175,736.79 and 42,252.30

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Solution

The fourth proportional to 117,132.75, 175,736.79 and 42,252.30 is: 63,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,132.75 : 175,736.79 = 42,252.30 : x
  2. Step 2: Convert to fraction form
    117,132.75/175,736.79 = 42,252.30/x
  3. Step 3: Cross multiply
    117,132.75x = 175,736.79 × 42,252.30
  4. Step 4: Simplify right side
    117,132.75x = 7,425,283,572.12
  5. Step 5: Solve for x
    x = 7,425,283,572.12/117,132.75
  6. Step 6: Final answer
    x = 63,392.04

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Why These Related Problems?

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