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Finding the Fourth Proportional to 205,030.20, 307,545.30 and 57,286.20

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Solution

The fourth proportional to 205,030.20, 307,545.30 and 57,286.20 is: 85,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,030.20 : 307,545.30 = 57,286.20 : x
  2. Step 2: Convert to fraction form
    205,030.20/307,545.30 = 57,286.20/x
  3. Step 3: Cross multiply
    205,030.20x = 307,545.30 × 57,286.20
  4. Step 4: Simplify right side
    205,030.20x = 17,618,101,564.86
  5. Step 5: Solve for x
    x = 17,618,101,564.86/205,030.20
  6. Step 6: Final answer
    x = 85,929.30

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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.