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Finding the Fourth Proportional to 189,258.38, 261,176.81 and 103,217.51

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Solution

The fourth proportional to 189,258.38, 261,176.81 and 103,217.51 is: 142,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,258.38 : 261,176.81 = 103,217.51 : x
  2. Step 2: Convert to fraction form
    189,258.38/261,176.81 = 103,217.51/x
  3. Step 3: Cross multiply
    189,258.38x = 261,176.81 × 103,217.51
  4. Step 4: Simplify right side
    189,258.38x = 26,958,018,175.97
  5. Step 5: Solve for x
    x = 26,958,018,175.97/189,258.38
  6. Step 6: Final answer
    x = 142,440.29

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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.