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Finding the Fourth Proportional to 138,958.25, 191,763.05 and 75,296.16

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Solution

The fourth proportional to 138,958.25, 191,763.05 and 75,296.16 is: 103,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958.25 : 191,763.05 = 75,296.16 : x
  2. Step 2: Convert to fraction form
    138,958.25/191,763.05 = 75,296.16/x
  3. Step 3: Cross multiply
    138,958.25x = 191,763.05 × 75,296.16
  4. Step 4: Simplify right side
    138,958.25x = 14,439,020,918.41
  5. Step 5: Solve for x
    x = 14,439,020,918.41/138,958.25
  6. Step 6: Final answer
    x = 103,909.06

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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.