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Finding the Fourth Proportional to 238,441.50, 357,826.29 and 98,200.14

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Solution

The fourth proportional to 238,441.50, 357,826.29 and 98,200.14 is: 147,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,441.50 : 357,826.29 = 98,200.14 : x
  2. Step 2: Convert to fraction form
    238,441.50/357,826.29 = 98,200.14/x
  3. Step 3: Cross multiply
    238,441.50x = 357,826.29 × 98,200.14
  4. Step 4: Simplify right side
    238,441.50x = 35,138,591,773.68
  5. Step 5: Solve for x
    x = 35,138,591,773.68/238,441.50
  6. Step 6: Final answer
    x = 147,367.77

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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.