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Finding the Fourth Proportional to 255,572.78, 352,691.87 and 148,206.56

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Solution

The fourth proportional to 255,572.78, 352,691.87 and 148,206.56 is: 204,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,572.78 : 352,691.87 = 148,206.56 : x
  2. Step 2: Convert to fraction form
    255,572.78/352,691.87 = 148,206.56/x
  3. Step 3: Cross multiply
    255,572.78x = 352,691.87 × 148,206.56
  4. Step 4: Simplify right side
    255,572.78x = 52,271,246,288.18
  5. Step 5: Solve for x
    x = 52,271,246,288.18/255,572.78
  6. Step 6: Final answer
    x = 204,525.88

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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.