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Finding the Fourth Proportional to 114,419.58, 171,471.42 and 82,575.78

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Solution

The fourth proportional to 114,419.58, 171,471.42 and 82,575.78 is: 123,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419.58 : 171,471.42 = 82,575.78 : x
  2. Step 2: Convert to fraction form
    114,419.58/171,471.42 = 82,575.78/x
  3. Step 3: Cross multiply
    114,419.58x = 171,471.42 × 82,575.78
  4. Step 4: Simplify right side
    114,419.58x = 14,159,386,254.21
  5. Step 5: Solve for x
    x = 14,159,386,254.21/114,419.58
  6. Step 6: Final answer
    x = 123,749.68

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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.