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Finding the Fourth Proportional to 205,461.45, 307,925.15 and 83,739.83

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Solution

The fourth proportional to 205,461.45, 307,925.15 and 83,739.83 is: 125,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,461.45 : 307,925.15 = 83,739.83 : x
  2. Step 2: Convert to fraction form
    205,461.45/307,925.15 = 83,739.83/x
  3. Step 3: Cross multiply
    205,461.45x = 307,925.15 × 83,739.83
  4. Step 4: Simplify right side
    205,461.45x = 25,785,597,755.40
  5. Step 5: Solve for x
    x = 25,785,597,755.40/205,461.45
  6. Step 6: Final answer
    x = 125,500.90

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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.