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Finding the Fourth Proportional to 205,229.40, 307,876.50 and 86,901.48

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Solution

The fourth proportional to 205,229.40, 307,876.50 and 86,901.48 is: 130,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,229.40 : 307,876.50 = 86,901.48 : x
  2. Step 2: Convert to fraction form
    205,229.40/307,876.50 = 86,901.48/x
  3. Step 3: Cross multiply
    205,229.40x = 307,876.50 × 86,901.48
  4. Step 4: Simplify right side
    205,229.40x = 26,754,923,507.22
  5. Step 5: Solve for x
    x = 26,754,923,507.22/205,229.40
  6. Step 6: Final answer
    x = 130,365.94

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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.