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Finding the Fourth Proportional to 138,693.60, 191,396.52 and 75,030.84

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Solution

The fourth proportional to 138,693.60, 191,396.52 and 75,030.84 is: 103,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693.60 : 191,396.52 = 75,030.84 : x
  2. Step 2: Convert to fraction form
    138,693.60/191,396.52 = 75,030.84/x
  3. Step 3: Cross multiply
    138,693.60x = 191,396.52 × 75,030.84
  4. Step 4: Simplify right side
    138,693.60x = 14,360,641,668.68
  5. Step 5: Solve for x
    x = 14,360,641,668.68/138,693.60
  6. Step 6: Final answer
    x = 103,542.21

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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.