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Finding the Fourth Proportional to 138,165.50, 190,668.39 and 78,549.50

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Solution

The fourth proportional to 138,165.50, 190,668.39 and 78,549.50 is: 108,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.50 : 190,668.39 = 78,549.50 : x
  2. Step 2: Convert to fraction form
    138,165.50/190,668.39 = 78,549.50/x
  3. Step 3: Cross multiply
    138,165.50x = 190,668.39 × 78,549.50
  4. Step 4: Simplify right side
    138,165.50x = 14,976,906,700.31
  5. Step 5: Solve for x
    x = 14,976,906,700.31/138,165.50
  6. Step 6: Final answer
    x = 108,398.31

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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.