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Finding the Fourth Proportional to 267,785.76, 401,301.06 and 147,896.76

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Solution

The fourth proportional to 267,785.76, 401,301.06 and 147,896.76 is: 221,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,785.76 : 401,301.06 = 147,896.76 : x
  2. Step 2: Convert to fraction form
    267,785.76/401,301.06 = 147,896.76/x
  3. Step 3: Cross multiply
    267,785.76x = 401,301.06 × 147,896.76
  4. Step 4: Simplify right side
    267,785.76x = 59,351,126,558.57
  5. Step 5: Solve for x
    x = 59,351,126,558.57/267,785.76
  6. Step 6: Final answer
    x = 221,636.60

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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.