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Finding the Fourth Proportional to 142,789.60, 214,119.60 and 54,013.60

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Solution

The fourth proportional to 142,789.60, 214,119.60 and 54,013.60 is: 80,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,789.60 : 214,119.60 = 54,013.60 : x
  2. Step 2: Convert to fraction form
    142,789.60/214,119.60 = 54,013.60/x
  3. Step 3: Cross multiply
    142,789.60x = 214,119.60 × 54,013.60
  4. Step 4: Simplify right side
    142,789.60x = 11,565,370,426.56
  5. Step 5: Solve for x
    x = 11,565,370,426.56/142,789.60
  6. Step 6: Final answer
    x = 80,995.89

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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.