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Finding the Fourth Proportional to 260,830.13, 359,945.57 and 147,652.88

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Solution

The fourth proportional to 260,830.13, 359,945.57 and 147,652.88 is: 203,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,830.13 : 359,945.57 = 147,652.88 : x
  2. Step 2: Convert to fraction form
    260,830.13/359,945.57 = 147,652.88/x
  3. Step 3: Cross multiply
    260,830.13x = 359,945.57 × 147,652.88
  4. Step 4: Simplify right side
    260,830.13x = 53,146,998,623.15
  5. Step 5: Solve for x
    x = 53,146,998,623.15/260,830.13
  6. Step 6: Final answer
    x = 203,760.97

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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.