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Finding the Fourth Proportional to 232,990.92, 349,264.85 and 148,513.95

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Solution

The fourth proportional to 232,990.92, 349,264.85 and 148,513.95 is: 222,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990.92 : 349,264.85 = 148,513.95 : x
  2. Step 2: Convert to fraction form
    232,990.92/349,264.85 = 148,513.95/x
  3. Step 3: Cross multiply
    232,990.92x = 349,264.85 × 148,513.95
  4. Step 4: Simplify right side
    232,990.92x = 51,870,701,727.09
  5. Step 5: Solve for x
    x = 51,870,701,727.09/232,990.92
  6. Step 6: Final answer
    x = 222,629.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.