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Finding the Fourth Proportional to 137,657.94, 206,364.60 and 48,899.76

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Solution

The fourth proportional to 137,657.94, 206,364.60 and 48,899.76 is: 73,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,657.94 : 206,364.60 = 48,899.76 : x
  2. Step 2: Convert to fraction form
    137,657.94/206,364.60 = 48,899.76/x
  3. Step 3: Cross multiply
    137,657.94x = 206,364.60 × 48,899.76
  4. Step 4: Simplify right side
    137,657.94x = 10,091,179,412.50
  5. Step 5: Solve for x
    x = 10,091,179,412.50/137,657.94
  6. Step 6: Final answer
    x = 73,306.19

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Why These Related Problems?

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