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Finding the Fourth Proportional to 227,756.40, 341,780.40 and 132,986.40

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Solution

The fourth proportional to 227,756.40, 341,780.40 and 132,986.40 is: 199,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,756.40 : 341,780.40 = 132,986.40 : x
  2. Step 2: Convert to fraction form
    227,756.40/341,780.40 = 132,986.40/x
  3. Step 3: Cross multiply
    227,756.40x = 341,780.40 × 132,986.40
  4. Step 4: Simplify right side
    227,756.40x = 45,452,144,986.56
  5. Step 5: Solve for x
    x = 45,452,144,986.56/227,756.40
  6. Step 6: Final answer
    x = 199,564.73

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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.