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Finding the Fourth Proportional to 260,624.50, 359,659.38 and 147,447.25

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Solution

The fourth proportional to 260,624.50, 359,659.38 and 147,447.25 is: 203,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,624.50 : 359,659.38 = 147,447.25 : x
  2. Step 2: Convert to fraction form
    260,624.50/359,659.38 = 147,447.25/x
  3. Step 3: Cross multiply
    260,624.50x = 359,659.38 × 147,447.25
  4. Step 4: Simplify right side
    260,624.50x = 53,030,786,517.71
  5. Step 5: Solve for x
    x = 53,030,786,517.71/260,624.50
  6. Step 6: Final answer
    x = 203,475.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.