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Finding the Fourth Proportional to 260,841.60, 359,983.68 and 147,684.48

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Solution

The fourth proportional to 260,841.60, 359,983.68 and 147,684.48 is: 203,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,841.60 : 359,983.68 = 147,684.48 : x
  2. Step 2: Convert to fraction form
    260,841.60/359,983.68 = 147,684.48/x
  3. Step 3: Cross multiply
    260,841.60x = 359,983.68 × 147,684.48
  4. Step 4: Simplify right side
    260,841.60x = 53,164,002,589.29
  5. Step 5: Solve for x
    x = 53,164,002,589.29/260,841.60
  6. Step 6: Final answer
    x = 203,817.19

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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.