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Finding the Fourth Proportional to 137,595.76, 206,414.18 and 48,841.84

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Solution

The fourth proportional to 137,595.76, 206,414.18 and 48,841.84 is: 73,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,595.76 : 206,414.18 = 48,841.84 : x
  2. Step 2: Convert to fraction form
    137,595.76/206,414.18 = 48,841.84/x
  3. Step 3: Cross multiply
    137,595.76x = 206,414.18 × 48,841.84
  4. Step 4: Simplify right side
    137,595.76x = 10,081,648,353.29
  5. Step 5: Solve for x
    x = 10,081,648,353.29/137,595.76
  6. Step 6: Final answer
    x = 73,270.05

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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.