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Finding the Fourth Proportional to 205,207.87, 283,191.63 and 128,730.19

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Solution

The fourth proportional to 205,207.87, 283,191.63 and 128,730.19 is: 177,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.87 : 283,191.63 = 128,730.19 : x
  2. Step 2: Convert to fraction form
    205,207.87/283,191.63 = 128,730.19/x
  3. Step 3: Cross multiply
    205,207.87x = 283,191.63 × 128,730.19
  4. Step 4: Simplify right side
    205,207.87x = 36,455,312,336.31
  5. Step 5: Solve for x
    x = 36,455,312,336.31/205,207.87
  6. Step 6: Final answer
    x = 177,650.65

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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.