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Finding the Fourth Proportional to 137,540.30, 206,242.40 and 48,780.50

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Solution

The fourth proportional to 137,540.30, 206,242.40 and 48,780.50 is: 73,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540.30 : 206,242.40 = 48,780.50 : x
  2. Step 2: Convert to fraction form
    137,540.30/206,242.40 = 48,780.50/x
  3. Step 3: Cross multiply
    137,540.30x = 206,242.40 × 48,780.50
  4. Step 4: Simplify right side
    137,540.30x = 10,060,606,483.94
  5. Step 5: Solve for x
    x = 10,060,606,483.94/137,540.30
  6. Step 6: Final answer
    x = 73,146.61

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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.