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Finding the Fourth Proportional to 186,141.38, 256,874.91 and 101,258.24

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Solution

The fourth proportional to 186,141.38, 256,874.91 and 101,258.24 is: 139,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,141.38 : 256,874.91 = 101,258.24 : x
  2. Step 2: Convert to fraction form
    186,141.38/256,874.91 = 101,258.24/x
  3. Step 3: Cross multiply
    186,141.38x = 256,874.91 × 101,258.24
  4. Step 4: Simplify right side
    186,141.38x = 26,010,701,286.76
  5. Step 5: Solve for x
    x = 26,010,701,286.76/186,141.38
  6. Step 6: Final answer
    x = 139,736.27

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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.