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Finding the Fourth Proportional to 183,200.71, 274,847.54 and 76,566.24

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Solution

The fourth proportional to 183,200.71, 274,847.54 and 76,566.24 is: 114,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200.71 : 274,847.54 = 76,566.24 : x
  2. Step 2: Convert to fraction form
    183,200.71/274,847.54 = 76,566.24/x
  3. Step 3: Cross multiply
    183,200.71x = 274,847.54 × 76,566.24
  4. Step 4: Simplify right side
    183,200.71x = 21,044,042,711.05
  5. Step 5: Solve for x
    x = 21,044,042,711.05/183,200.71
  6. Step 6: Final answer
    x = 114,868.78

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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.