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Finding the Fourth Proportional to 253,792.50, 380,694.87 and 85,315.02

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Solution

The fourth proportional to 253,792.50, 380,694.87 and 85,315.02 is: 127,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,792.50 : 380,694.87 = 85,315.02 : x
  2. Step 2: Convert to fraction form
    253,792.50/380,694.87 = 85,315.02/x
  3. Step 3: Cross multiply
    253,792.50x = 380,694.87 × 85,315.02
  4. Step 4: Simplify right side
    253,792.50x = 32,478,990,447.95
  5. Step 5: Solve for x
    x = 32,478,990,447.95/253,792.50
  6. Step 6: Final answer
    x = 127,974.59

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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.