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Finding the Fourth Proportional to 114,098.60, 171,002.10 and 54,806.60

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Solution

The fourth proportional to 114,098.60, 171,002.10 and 54,806.60 is: 82,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.60 : 171,002.10 = 54,806.60 : x
  2. Step 2: Convert to fraction form
    114,098.60/171,002.10 = 54,806.60/x
  3. Step 3: Cross multiply
    114,098.60x = 171,002.10 × 54,806.60
  4. Step 4: Simplify right side
    114,098.60x = 9,372,043,693.86
  5. Step 5: Solve for x
    x = 9,372,043,693.86/114,098.60
  6. Step 6: Final answer
    x = 82,139.87

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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.