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Finding the Fourth Proportional to 235,952.80, 353,937.92 and 78,195.04

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Solution

The fourth proportional to 235,952.80, 353,937.92 and 78,195.04 is: 117,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,952.80 : 353,937.92 = 78,195.04 : x
  2. Step 2: Convert to fraction form
    235,952.80/353,937.92 = 78,195.04/x
  3. Step 3: Cross multiply
    235,952.80x = 353,937.92 × 78,195.04
  4. Step 4: Simplify right side
    235,952.80x = 27,676,189,811.92
  5. Step 5: Solve for x
    x = 27,676,189,811.92/235,952.80
  6. Step 6: Final answer
    x = 117,295.45

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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.