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Finding the Fourth Proportional to 263,759.84, 363,988.65 and 142,901.96

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Solution

The fourth proportional to 263,759.84, 363,988.65 and 142,901.96 is: 197,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,759.84 : 363,988.65 = 142,901.96 : x
  2. Step 2: Convert to fraction form
    263,759.84/363,988.65 = 142,901.96/x
  3. Step 3: Cross multiply
    263,759.84x = 363,988.65 × 142,901.96
  4. Step 4: Simplify right side
    263,759.84x = 52,014,691,502.75
  5. Step 5: Solve for x
    x = 52,014,691,502.75/263,759.84
  6. Step 6: Final answer
    x = 197,204.74

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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.