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Finding the Fourth Proportional to 183,229.86, 274,793.76 and 64,869.42

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Solution

The fourth proportional to 183,229.86, 274,793.76 and 64,869.42 is: 97,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,229.86 : 274,793.76 = 64,869.42 : x
  2. Step 2: Convert to fraction form
    183,229.86/274,793.76 = 64,869.42/x
  3. Step 3: Cross multiply
    183,229.86x = 274,793.76 × 64,869.42
  4. Step 4: Simplify right side
    183,229.86x = 17,825,711,830.82
  5. Step 5: Solve for x
    x = 17,825,711,830.82/183,229.86
  6. Step 6: Final answer
    x = 97,286.06

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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.