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Finding the Fourth Proportional to 175,711.40, 262,952.70 and 160,965.80

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Solution

The fourth proportional to 175,711.40, 262,952.70 and 160,965.80 is: 240,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,711.40 : 262,952.70 = 160,965.80 : x
  2. Step 2: Convert to fraction form
    175,711.40/262,952.70 = 160,965.80/x
  3. Step 3: Cross multiply
    175,711.40x = 262,952.70 × 160,965.80
  4. Step 4: Simplify right side
    175,711.40x = 42,326,391,717.66
  5. Step 5: Solve for x
    x = 42,326,391,717.66/175,711.40
  6. Step 6: Final answer
    x = 240,885.86

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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.