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Finding the Fourth Proportional to 114,057.60, 171,086.40 and 55,008.60

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Solution

The fourth proportional to 114,057.60, 171,086.40 and 55,008.60 is: 82,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057.60 : 171,086.40 = 55,008.60 : x
  2. Step 2: Convert to fraction form
    114,057.60/171,086.40 = 55,008.60/x
  3. Step 3: Cross multiply
    114,057.60x = 171,086.40 × 55,008.60
  4. Step 4: Simplify right side
    114,057.60x = 9,411,223,343.04
  5. Step 5: Solve for x
    x = 9,411,223,343.04/114,057.60
  6. Step 6: Final answer
    x = 82,512.90

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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.