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Finding the Fourth Proportional to 252,372.64, 378,092.40 and 127,415.20

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Solution

The fourth proportional to 252,372.64, 378,092.40 and 127,415.20 is: 190,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,372.64 : 378,092.40 = 127,415.20 : x
  2. Step 2: Convert to fraction form
    252,372.64/378,092.40 = 127,415.20/x
  3. Step 3: Cross multiply
    252,372.64x = 378,092.40 × 127,415.20
  4. Step 4: Simplify right side
    252,372.64x = 48,174,718,764.48
  5. Step 5: Solve for x
    x = 48,174,718,764.48/252,372.64
  6. Step 6: Final answer
    x = 190,887.25

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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.