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Finding the Fourth Proportional to 135,999.60, 204,031.80 and 65,821.20

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Solution

The fourth proportional to 135,999.60, 204,031.80 and 65,821.20 is: 98,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999.60 : 204,031.80 = 65,821.20 : x
  2. Step 2: Convert to fraction form
    135,999.60/204,031.80 = 65,821.20/x
  3. Step 3: Cross multiply
    135,999.60x = 204,031.80 × 65,821.20
  4. Step 4: Simplify right side
    135,999.60x = 13,429,617,914.16
  5. Step 5: Solve for x
    x = 13,429,617,914.16/135,999.60
  6. Step 6: Final answer
    x = 98,747.48

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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.