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Finding the Fourth Proportional to 192,347.96, 288,264 and 149,704.88

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Solution

The fourth proportional to 192,347.96, 288,264 and 149,704.88 is: 224,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,347.96 : 288,264 = 149,704.88 : x
  2. Step 2: Convert to fraction form
    192,347.96/288,264 = 149,704.88/x
  3. Step 3: Cross multiply
    192,347.96x = 288,264 × 149,704.88
  4. Step 4: Simplify right side
    192,347.96x = 43,154,527,528.32
  5. Step 5: Solve for x
    x = 43,154,527,528.32/192,347.96
  6. Step 6: Final answer
    x = 224,356.56

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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.