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Finding the Fourth Proportional to 138,740.88, 191,461.80 and 75,079.80

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Solution

The fourth proportional to 138,740.88, 191,461.80 and 75,079.80 is: 103,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,740.88 : 191,461.80 = 75,079.80 : x
  2. Step 2: Convert to fraction form
    138,740.88/191,461.80 = 75,079.80/x
  3. Step 3: Cross multiply
    138,740.88x = 191,461.80 × 75,079.80
  4. Step 4: Simplify right side
    138,740.88x = 14,374,913,651.64
  5. Step 5: Solve for x
    x = 14,374,913,651.64/138,740.88
  6. Step 6: Final answer
    x = 103,609.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.