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Finding the Fourth Proportional to 205,200.90, 307,758.15 and 86,876.10

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Solution

The fourth proportional to 205,200.90, 307,758.15 and 86,876.10 is: 130,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200.90 : 307,758.15 = 86,876.10 : x
  2. Step 2: Convert to fraction form
    205,200.90/307,758.15 = 86,876.10/x
  3. Step 3: Cross multiply
    205,200.90x = 307,758.15 × 86,876.10
  4. Step 4: Simplify right side
    205,200.90x = 26,736,827,815.22
  5. Step 5: Solve for x
    x = 26,736,827,815.22/205,200.90
  6. Step 6: Final answer
    x = 130,295.86

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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.