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Finding the Fourth Proportional to 136,602.26, 204,854.17 and 57,722.64

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Solution

The fourth proportional to 136,602.26, 204,854.17 and 57,722.64 is: 86,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,602.26 : 204,854.17 = 57,722.64 : x
  2. Step 2: Convert to fraction form
    136,602.26/204,854.17 = 57,722.64/x
  3. Step 3: Cross multiply
    136,602.26x = 204,854.17 × 57,722.64
  4. Step 4: Simplify right side
    136,602.26x = 11,824,723,507.41
  5. Step 5: Solve for x
    x = 11,824,723,507.41/136,602.26
  6. Step 6: Final answer
    x = 86,563.16

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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.