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Finding the Fourth Proportional to 205,180.68, 283,267.06 and 156,399.64

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Solution

The fourth proportional to 205,180.68, 283,267.06 and 156,399.64 is: 215,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180.68 : 283,267.06 = 156,399.64 : x
  2. Step 2: Convert to fraction form
    205,180.68/283,267.06 = 156,399.64/x
  3. Step 3: Cross multiply
    205,180.68x = 283,267.06 × 156,399.64
  4. Step 4: Simplify right side
    205,180.68x = 44,302,866,207.86
  5. Step 5: Solve for x
    x = 44,302,866,207.86/205,180.68
  6. Step 6: Final answer
    x = 215,921.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.