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Finding the Fourth Proportional to 127,562.88, 191,169.12 and 65,102.40

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Solution

The fourth proportional to 127,562.88, 191,169.12 and 65,102.40 is: 97,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,562.88 : 191,169.12 = 65,102.40 : x
  2. Step 2: Convert to fraction form
    127,562.88/191,169.12 = 65,102.40/x
  3. Step 3: Cross multiply
    127,562.88x = 191,169.12 × 65,102.40
  4. Step 4: Simplify right side
    127,562.88x = 12,445,568,517.89
  5. Step 5: Solve for x
    x = 12,445,568,517.89/127,562.88
  6. Step 6: Final answer
    x = 97,564.19

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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.