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Finding the Fourth Proportional to 135,634.60, 203,484.30 and 65,456.20

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Solution

The fourth proportional to 135,634.60, 203,484.30 and 65,456.20 is: 98,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,634.60 : 203,484.30 = 65,456.20 : x
  2. Step 2: Convert to fraction form
    135,634.60/203,484.30 = 65,456.20/x
  3. Step 3: Cross multiply
    135,634.60x = 203,484.30 × 65,456.20
  4. Step 4: Simplify right side
    135,634.60x = 13,319,309,037.66
  5. Step 5: Solve for x
    x = 13,319,309,037.66/135,634.60
  6. Step 6: Final answer
    x = 98,199.94

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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.