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Finding the Fourth Proportional to 230,558.90, 345,903.15 and 112,234.10

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Solution

The fourth proportional to 230,558.90, 345,903.15 and 112,234.10 is: 168,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558.90 : 345,903.15 = 112,234.10 : x
  2. Step 2: Convert to fraction form
    230,558.90/345,903.15 = 112,234.10/x
  3. Step 3: Cross multiply
    230,558.90x = 345,903.15 × 112,234.10
  4. Step 4: Simplify right side
    230,558.90x = 38,822,128,727.42
  5. Step 5: Solve for x
    x = 38,822,128,727.42/230,558.90
  6. Step 6: Final answer
    x = 168,382.69

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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.