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Finding the Fourth Proportional to 138,743.84, 191,466.49 and 75,081.63

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Solution

The fourth proportional to 138,743.84, 191,466.49 and 75,081.63 is: 103,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743.84 : 191,466.49 = 75,081.63 : x
  2. Step 2: Convert to fraction form
    138,743.84/191,466.49 = 75,081.63/x
  3. Step 3: Cross multiply
    138,743.84x = 191,466.49 × 75,081.63
  4. Step 4: Simplify right side
    138,743.84x = 14,375,616,159.58
  5. Step 5: Solve for x
    x = 14,375,616,159.58/138,743.84
  6. Step 6: Final answer
    x = 103,612.64

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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.