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Finding the Fourth Proportional to 127,207.92, 190,785.96 and 48,294.48

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Solution

The fourth proportional to 127,207.92, 190,785.96 and 48,294.48 is: 72,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,207.92 : 190,785.96 = 48,294.48 : x
  2. Step 2: Convert to fraction form
    127,207.92/190,785.96 = 48,294.48/x
  3. Step 3: Cross multiply
    127,207.92x = 190,785.96 × 48,294.48
  4. Step 4: Simplify right side
    127,207.92x = 9,213,908,729.50
  5. Step 5: Solve for x
    x = 9,213,908,729.50/127,207.92
  6. Step 6: Final answer
    x = 72,431.88

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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.