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Finding the Fourth Proportional to 137,713.70, 206,570.55 and 74,509.40

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Solution

The fourth proportional to 137,713.70, 206,570.55 and 74,509.40 is: 111,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,713.70 : 206,570.55 = 74,509.40 : x
  2. Step 2: Convert to fraction form
    137,713.70/206,570.55 = 74,509.40/x
  3. Step 3: Cross multiply
    137,713.70x = 206,570.55 × 74,509.40
  4. Step 4: Simplify right side
    137,713.70x = 15,391,447,738.17
  5. Step 5: Solve for x
    x = 15,391,447,738.17/137,713.70
  6. Step 6: Final answer
    x = 111,764.10

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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.