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Finding the Fourth Proportional to 260,200.38, 359,071.84 and 147,020.70

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Solution

The fourth proportional to 260,200.38, 359,071.84 and 147,020.70 is: 202,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,200.38 : 359,071.84 = 147,020.70 : x
  2. Step 2: Convert to fraction form
    260,200.38/359,071.84 = 147,020.70/x
  3. Step 3: Cross multiply
    260,200.38x = 359,071.84 × 147,020.70
  4. Step 4: Simplify right side
    260,200.38x = 52,790,993,267.09
  5. Step 5: Solve for x
    x = 52,790,993,267.09/260,200.38
  6. Step 6: Final answer
    x = 202,885.92

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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.