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Finding the Fourth Proportional to 289,188.97, 433,770.69 and 78,826.92

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Solution

The fourth proportional to 289,188.97, 433,770.69 and 78,826.92 is: 118,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,188.97 : 433,770.69 = 78,826.92 : x
  2. Step 2: Convert to fraction form
    289,188.97/433,770.69 = 78,826.92/x
  3. Step 3: Cross multiply
    289,188.97x = 433,770.69 × 78,826.92
  4. Step 4: Simplify right side
    289,188.97x = 34,192,807,478.97
  5. Step 5: Solve for x
    x = 34,192,807,478.97/289,188.97
  6. Step 6: Final answer
    x = 118,236.90

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1.5x scale

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.