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Finding the Fourth Proportional to 230,118.40, 345,036.66 and 89,713

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Solution

The fourth proportional to 230,118.40, 345,036.66 and 89,713 is: 134,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,118.40 : 345,036.66 = 89,713 : x
  2. Step 2: Convert to fraction form
    230,118.40/345,036.66 = 89,713/x
  3. Step 3: Cross multiply
    230,118.40x = 345,036.66 × 89,713
  4. Step 4: Simplify right side
    230,118.40x = 30,954,273,878.58
  5. Step 5: Solve for x
    x = 30,954,273,878.58/230,118.40
  6. Step 6: Final answer
    x = 134,514.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.