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Finding the Fourth Proportional to 186,358.52, 257,167.73 and 113,882.60

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Solution

The fourth proportional to 186,358.52, 257,167.73 and 113,882.60 is: 157,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,358.52 : 257,167.73 = 113,882.60 : x
  2. Step 2: Convert to fraction form
    186,358.52/257,167.73 = 113,882.60/x
  3. Step 3: Cross multiply
    186,358.52x = 257,167.73 × 113,882.60
  4. Step 4: Simplify right side
    186,358.52x = 29,286,927,873.25
  5. Step 5: Solve for x
    x = 29,286,927,873.25/186,358.52
  6. Step 6: Final answer
    x = 157,153.69

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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.