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Finding the Fourth Proportional to 230,384.90, 345,340.38 and 88,196.70

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Solution

The fourth proportional to 230,384.90, 345,340.38 and 88,196.70 is: 132,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,384.90 : 345,340.38 = 88,196.70 : x
  2. Step 2: Convert to fraction form
    230,384.90/345,340.38 = 88,196.70/x
  3. Step 3: Cross multiply
    230,384.90x = 345,340.38 × 88,196.70
  4. Step 4: Simplify right side
    230,384.90x = 30,457,881,892.75
  5. Step 5: Solve for x
    x = 30,457,881,892.75/230,384.90
  6. Step 6: Final answer
    x = 132,204.33

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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.