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Finding the Fourth Proportional to 100,290.33, 138,463.58 and 64,542.47

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Solution

The fourth proportional to 100,290.33, 138,463.58 and 64,542.47 is: 89,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290.33 : 138,463.58 = 64,542.47 : x
  2. Step 2: Convert to fraction form
    100,290.33/138,463.58 = 64,542.47/x
  3. Step 3: Cross multiply
    100,290.33x = 138,463.58 × 64,542.47
  4. Step 4: Simplify right side
    100,290.33x = 8,936,780,927.28
  5. Step 5: Solve for x
    x = 8,936,780,927.28/100,290.33
  6. Step 6: Final answer
    x = 89,109.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.