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Finding the Fourth Proportional to 137,434.50, 206,176.38 and 70,856.76

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Solution

The fourth proportional to 137,434.50, 206,176.38 and 70,856.76 is: 106,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,434.50 : 206,176.38 = 70,856.76 : x
  2. Step 2: Convert to fraction form
    137,434.50/206,176.38 = 70,856.76/x
  3. Step 3: Cross multiply
    137,434.50x = 206,176.38 × 70,856.76
  4. Step 4: Simplify right side
    137,434.50x = 14,608,990,275.33
  5. Step 5: Solve for x
    x = 14,608,990,275.33/137,434.50
  6. Step 6: Final answer
    x = 106,297.84

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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.