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Finding the Fourth Proportional to 175,894.79, 263,891.43 and 57,649.17

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Solution

The fourth proportional to 175,894.79, 263,891.43 and 57,649.17 is: 86,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,894.79 : 263,891.43 = 57,649.17 : x
  2. Step 2: Convert to fraction form
    175,894.79/263,891.43 = 57,649.17/x
  3. Step 3: Cross multiply
    175,894.79x = 263,891.43 × 57,649.17
  4. Step 4: Simplify right side
    175,894.79x = 15,213,121,909.61
  5. Step 5: Solve for x
    x = 15,213,121,909.61/175,894.79
  6. Step 6: Final answer
    x = 86,489.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.