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Finding the Fourth Proportional to 230,610.38, 318,242.39 and 130,008.38

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Solution

The fourth proportional to 230,610.38, 318,242.39 and 130,008.38 is: 179,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,610.38 : 318,242.39 = 130,008.38 : x
  2. Step 2: Convert to fraction form
    230,610.38/318,242.39 = 130,008.38/x
  3. Step 3: Cross multiply
    230,610.38x = 318,242.39 × 130,008.38
  4. Step 4: Simplify right side
    230,610.38x = 41,374,175,329.97
  5. Step 5: Solve for x
    x = 41,374,175,329.97/230,610.38
  6. Step 6: Final answer
    x = 179,411.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.