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Finding the Fourth Proportional to 237,514.32, 356,262.84 and 71,298

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Solution

The fourth proportional to 237,514.32, 356,262.84 and 71,298 is: 106,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,514.32 : 356,262.84 = 71,298 : x
  2. Step 2: Convert to fraction form
    237,514.32/356,262.84 = 71,298/x
  3. Step 3: Cross multiply
    237,514.32x = 356,262.84 × 71,298
  4. Step 4: Simplify right side
    237,514.32x = 25,400,827,966.32
  5. Step 5: Solve for x
    x = 25,400,827,966.32/237,514.32
  6. Step 6: Final answer
    x = 106,944.41

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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.