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Finding the Fourth Proportional to 142,761.60, 214,077.60 and 53,985.60

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Solution

The fourth proportional to 142,761.60, 214,077.60 and 53,985.60 is: 80,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761.60 : 214,077.60 = 53,985.60 : x
  2. Step 2: Convert to fraction form
    142,761.60/214,077.60 = 53,985.60/x
  3. Step 3: Cross multiply
    142,761.60x = 214,077.60 × 53,985.60
  4. Step 4: Simplify right side
    142,761.60x = 11,557,107,682.56
  5. Step 5: Solve for x
    x = 11,557,107,682.56/142,761.60
  6. Step 6: Final answer
    x = 80,953.90

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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.