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Finding the Fourth Proportional to 186,358.70, 257,167.98 and 113,882.78

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Solution

The fourth proportional to 186,358.70, 257,167.98 and 113,882.78 is: 157,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,358.70 : 257,167.98 = 113,882.78 : x
  2. Step 2: Convert to fraction form
    186,358.70/257,167.98 = 113,882.78/x
  3. Step 3: Cross multiply
    186,358.70x = 257,167.98 × 113,882.78
  4. Step 4: Simplify right side
    186,358.70x = 29,287,004,489.38
  5. Step 5: Solve for x
    x = 29,287,004,489.38/186,358.70
  6. Step 6: Final answer
    x = 157,153.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.