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Finding the Fourth Proportional to 136,575.96, 204,863.96 and 43,089

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Solution

The fourth proportional to 136,575.96, 204,863.96 and 43,089 is: 64,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,575.96 : 204,863.96 = 43,089 : x
  2. Step 2: Convert to fraction form
    136,575.96/204,863.96 = 43,089/x
  3. Step 3: Cross multiply
    136,575.96x = 204,863.96 × 43,089
  4. Step 4: Simplify right side
    136,575.96x = 8,827,382,957.00
  5. Step 5: Solve for x
    x = 8,827,382,957.00/136,575.96
  6. Step 6: Final answer
    x = 64,633.50

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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.