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Finding the Fourth Proportional to 138,805.20, 191,551.25 and 75,143.00

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Solution

The fourth proportional to 138,805.20, 191,551.25 and 75,143.00 is: 103,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805.20 : 191,551.25 = 75,143.00 : x
  2. Step 2: Convert to fraction form
    138,805.20/191,551.25 = 75,143.00/x
  3. Step 3: Cross multiply
    138,805.20x = 191,551.25 × 75,143.00
  4. Step 4: Simplify right side
    138,805.20x = 14,393,735,681.91
  5. Step 5: Solve for x
    x = 14,393,735,681.91/138,805.20
  6. Step 6: Final answer
    x = 103,697.38

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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.