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Finding the Fourth Proportional to 230,043.70, 345,195.15 and 89,784.10

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Solution

The fourth proportional to 230,043.70, 345,195.15 and 89,784.10 is: 134,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,043.70 : 345,195.15 = 89,784.10 : x
  2. Step 2: Convert to fraction form
    230,043.70/345,195.15 = 89,784.10/x
  3. Step 3: Cross multiply
    230,043.70x = 345,195.15 × 89,784.10
  4. Step 4: Simplify right side
    230,043.70x = 30,993,035,867.12
  5. Step 5: Solve for x
    x = 30,993,035,867.12/230,043.70
  6. Step 6: Final answer
    x = 134,726.73

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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.