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Finding the Fourth Proportional to 252,102.20, 378,127.70 and 85,887.80

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Solution

The fourth proportional to 252,102.20, 378,127.70 and 85,887.80 is: 128,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102.20 : 378,127.70 = 85,887.80 : x
  2. Step 2: Convert to fraction form
    252,102.20/378,127.70 = 85,887.80/x
  3. Step 3: Cross multiply
    252,102.20x = 378,127.70 × 85,887.80
  4. Step 4: Simplify right side
    252,102.20x = 32,476,556,272.06
  5. Step 5: Solve for x
    x = 32,476,556,272.06/252,102.20
  6. Step 6: Final answer
    x = 128,822.98

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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.