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Finding the Fourth Proportional to 263,396, 363,489.04 and 144,166.56

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Solution

The fourth proportional to 263,396, 363,489.04 and 144,166.56 is: 198,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,396 : 363,489.04 = 144,166.56 : x
  2. Step 2: Convert to fraction form
    263,396/363,489.04 = 144,166.56/x
  3. Step 3: Cross multiply
    263,396x = 363,489.04 × 144,166.56
  4. Step 4: Simplify right side
    263,396x = 52,402,964,494.50
  5. Step 5: Solve for x
    x = 52,402,964,494.50/263,396
  6. Step 6: Final answer
    x = 198,951.25

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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.