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Finding the Fourth Proportional to 202,794.61, 304,234.76 and 76,432.18

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Solution

The fourth proportional to 202,794.61, 304,234.76 and 76,432.18 is: 114,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,794.61 : 304,234.76 = 76,432.18 : x
  2. Step 2: Convert to fraction form
    202,794.61/304,234.76 = 76,432.18/x
  3. Step 3: Cross multiply
    202,794.61x = 304,234.76 × 76,432.18
  4. Step 4: Simplify right side
    202,794.61x = 23,253,325,938.58
  5. Step 5: Solve for x
    x = 23,253,325,938.58/202,794.61
  6. Step 6: Final answer
    x = 114,664.42

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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.