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Finding the Fourth Proportional to 262,334.70, 393,502.05 and 178,135.20

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Solution

The fourth proportional to 262,334.70, 393,502.05 and 178,135.20 is: 267,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,334.70 : 393,502.05 = 178,135.20 : x
  2. Step 2: Convert to fraction form
    262,334.70/393,502.05 = 178,135.20/x
  3. Step 3: Cross multiply
    262,334.70x = 393,502.05 × 178,135.20
  4. Step 4: Simplify right side
    262,334.70x = 70,096,566,377.16
  5. Step 5: Solve for x
    x = 70,096,566,377.16/262,334.70
  6. Step 6: Final answer
    x = 267,202.80

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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.