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Finding the Fourth Proportional to 185,954.40, 278,931.60 and 178,081.20

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Solution

The fourth proportional to 185,954.40, 278,931.60 and 178,081.20 is: 267,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,954.40 : 278,931.60 = 178,081.20 : x
  2. Step 2: Convert to fraction form
    185,954.40/278,931.60 = 178,081.20/x
  3. Step 3: Cross multiply
    185,954.40x = 278,931.60 × 178,081.20
  4. Step 4: Simplify right side
    185,954.40x = 49,672,474,045.92
  5. Step 5: Solve for x
    x = 49,672,474,045.92/185,954.40
  6. Step 6: Final answer
    x = 267,121.80

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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.