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Finding the Fourth Proportional to 127,462.60, 191,219.44 and 71,382.48

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Solution

The fourth proportional to 127,462.60, 191,219.44 and 71,382.48 is: 107,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,462.60 : 191,219.44 = 71,382.48 : x
  2. Step 2: Convert to fraction form
    127,462.60/191,219.44 = 71,382.48/x
  3. Step 3: Cross multiply
    127,462.60x = 191,219.44 × 71,382.48
  4. Step 4: Simplify right side
    127,462.60x = 13,649,717,851.41
  5. Step 5: Solve for x
    x = 13,649,717,851.41/127,462.60
  6. Step 6: Final answer
    x = 107,088.02

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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.