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Finding the Fourth Proportional to 260,202.38, 359,074.60 and 147,022.70

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Solution

The fourth proportional to 260,202.38, 359,074.60 and 147,022.70 is: 202,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,202.38 : 359,074.60 = 147,022.70 : x
  2. Step 2: Convert to fraction form
    260,202.38/359,074.60 = 147,022.70/x
  3. Step 3: Cross multiply
    260,202.38x = 359,074.60 × 147,022.70
  4. Step 4: Simplify right side
    260,202.38x = 52,792,117,193.42
  5. Step 5: Solve for x
    x = 52,792,117,193.42/260,202.38
  6. Step 6: Final answer
    x = 202,888.68

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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.