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Finding the Fourth Proportional to 205,048.87, 283,358.05 and 147,875.83

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Solution

The fourth proportional to 205,048.87, 283,358.05 and 147,875.83 is: 204,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.87 : 283,358.05 = 147,875.83 : x
  2. Step 2: Convert to fraction form
    205,048.87/283,358.05 = 147,875.83/x
  3. Step 3: Cross multiply
    205,048.87x = 283,358.05 × 147,875.83
  4. Step 4: Simplify right side
    205,048.87x = 41,901,805,752.85
  5. Step 5: Solve for x
    x = 41,901,805,752.85/205,048.87
  6. Step 6: Final answer
    x = 204,350.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.