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Finding the Fourth Proportional to 138,642.26, 191,326.32 and 74,980.04

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Solution

The fourth proportional to 138,642.26, 191,326.32 and 74,980.04 is: 103,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642.26 : 191,326.32 = 74,980.04 : x
  2. Step 2: Convert to fraction form
    138,642.26/191,326.32 = 74,980.04/x
  3. Step 3: Cross multiply
    138,642.26x = 191,326.32 × 74,980.04
  4. Step 4: Simplify right side
    138,642.26x = 14,345,654,170.02
  5. Step 5: Solve for x
    x = 14,345,654,170.02/138,642.26
  6. Step 6: Final answer
    x = 103,472.45

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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.