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Finding the Fourth Proportional to 230,854.60, 345,731.10 and 112,144.60

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Solution

The fourth proportional to 230,854.60, 345,731.10 and 112,144.60 is: 167,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.60 : 345,731.10 = 112,144.60 : x
  2. Step 2: Convert to fraction form
    230,854.60/345,731.10 = 112,144.60/x
  3. Step 3: Cross multiply
    230,854.60x = 345,731.10 × 112,144.60
  4. Step 4: Simplify right side
    230,854.60x = 38,771,875,917.06
  5. Step 5: Solve for x
    x = 38,771,875,917.06/230,854.60
  6. Step 6: Final answer
    x = 167,949.33

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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.