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Finding the Fourth Proportional to 158,635.92, 237,966.84 and 65,142.48

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Solution

The fourth proportional to 158,635.92, 237,966.84 and 65,142.48 is: 97,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,635.92 : 237,966.84 = 65,142.48 : x
  2. Step 2: Convert to fraction form
    158,635.92/237,966.84 = 65,142.48/x
  3. Step 3: Cross multiply
    158,635.92x = 237,966.84 × 65,142.48
  4. Step 4: Simplify right side
    158,635.92x = 15,501,750,115.36
  5. Step 5: Solve for x
    x = 15,501,750,115.36/158,635.92
  6. Step 6: Final answer
    x = 97,719.04

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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.