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Finding the Fourth Proportional to 209,652.68, 314,382.20 and 67,471.48

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Solution

The fourth proportional to 209,652.68, 314,382.20 and 67,471.48 is: 101,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,652.68 : 314,382.20 = 67,471.48 : x
  2. Step 2: Convert to fraction form
    209,652.68/314,382.20 = 67,471.48/x
  3. Step 3: Cross multiply
    209,652.68x = 314,382.20 × 67,471.48
  4. Step 4: Simplify right side
    209,652.68x = 21,211,832,319.66
  5. Step 5: Solve for x
    x = 21,211,832,319.66/209,652.68
  6. Step 6: Final answer
    x = 101,176.06

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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.