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Finding the Fourth Proportional to 136,007.60, 204,043.80 and 65,829.20

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Solution

The fourth proportional to 136,007.60, 204,043.80 and 65,829.20 is: 98,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,007.60 : 204,043.80 = 65,829.20 : x
  2. Step 2: Convert to fraction form
    136,007.60/204,043.80 = 65,829.20/x
  3. Step 3: Cross multiply
    136,007.60x = 204,043.80 × 65,829.20
  4. Step 4: Simplify right side
    136,007.60x = 13,432,040,118.96
  5. Step 5: Solve for x
    x = 13,432,040,118.96/136,007.60
  6. Step 6: Final answer
    x = 98,759.48

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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.