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Finding the Fourth Proportional to 137,548.19, 206,381.67 and 74,412.78

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Solution

The fourth proportional to 137,548.19, 206,381.67 and 74,412.78 is: 111,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.19 : 206,381.67 = 74,412.78 : x
  2. Step 2: Convert to fraction form
    137,548.19/206,381.67 = 74,412.78/x
  3. Step 3: Cross multiply
    137,548.19x = 206,381.67 × 74,412.78
  4. Step 4: Simplify right side
    137,548.19x = 15,357,433,805.74
  5. Step 5: Solve for x
    x = 15,357,433,805.74/137,548.19
  6. Step 6: Final answer
    x = 111,651.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.