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Finding the Fourth Proportional to 268,078.32, 369,951.94 and 147,230.48

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Solution

The fourth proportional to 268,078.32, 369,951.94 and 147,230.48 is: 203,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,078.32 : 369,951.94 = 147,230.48 : x
  2. Step 2: Convert to fraction form
    268,078.32/369,951.94 = 147,230.48/x
  3. Step 3: Cross multiply
    268,078.32x = 369,951.94 × 147,230.48
  4. Step 4: Simplify right side
    268,078.32x = 54,468,201,703.13
  5. Step 5: Solve for x
    x = 54,468,201,703.13/268,078.32
  6. Step 6: Final answer
    x = 203,180.18

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Why These Related Problems?

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