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Finding the Fourth Proportional to 252,502.06, 378,752.58 and 147,247.20

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Solution

The fourth proportional to 252,502.06, 378,752.58 and 147,247.20 is: 220,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,502.06 : 378,752.58 = 147,247.20 : x
  2. Step 2: Convert to fraction form
    252,502.06/378,752.58 = 147,247.20/x
  3. Step 3: Cross multiply
    252,502.06x = 378,752.58 × 147,247.20
  4. Step 4: Simplify right side
    252,502.06x = 55,770,256,897.78
  5. Step 5: Solve for x
    x = 55,770,256,897.78/252,502.06
  6. Step 6: Final answer
    x = 220,870.50

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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.