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Finding the Fourth Proportional to 192,053.40, 288,711.16 and 178,181

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Solution

The fourth proportional to 192,053.40, 288,711.16 and 178,181 is: 267,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,053.40 : 288,711.16 = 178,181 : x
  2. Step 2: Convert to fraction form
    192,053.40/288,711.16 = 178,181/x
  3. Step 3: Cross multiply
    192,053.40x = 288,711.16 × 178,181
  4. Step 4: Simplify right side
    192,053.40x = 51,442,843,199.96
  5. Step 5: Solve for x
    x = 51,442,843,199.96/192,053.40
  6. Step 6: Final answer
    x = 267,856.98

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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.