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Finding the Fourth Proportional to 205,366.40, 307,819.20 and 87,017.60

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Solution

The fourth proportional to 205,366.40, 307,819.20 and 87,017.60 is: 130,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,366.40 : 307,819.20 = 87,017.60 : x
  2. Step 2: Convert to fraction form
    205,366.40/307,819.20 = 87,017.60/x
  3. Step 3: Cross multiply
    205,366.40x = 307,819.20 × 87,017.60
  4. Step 4: Simplify right side
    205,366.40x = 26,785,688,017.92
  5. Step 5: Solve for x
    x = 26,785,688,017.92/205,366.40
  6. Step 6: Final answer
    x = 130,428.78

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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.