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Finding the Fourth Proportional to 192,591.56, 288,988.08 and 78,823.82

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Solution

The fourth proportional to 192,591.56, 288,988.08 and 78,823.82 is: 118,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,591.56 : 288,988.08 = 78,823.82 : x
  2. Step 2: Convert to fraction form
    192,591.56/288,988.08 = 78,823.82/x
  3. Step 3: Cross multiply
    192,591.56x = 288,988.08 × 78,823.82
  4. Step 4: Simplify right side
    192,591.56x = 22,779,144,400.07
  5. Step 5: Solve for x
    x = 22,779,144,400.07/192,591.56
  6. Step 6: Final answer
    x = 118,276.96

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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.