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Finding the Fourth Proportional to 189,258.41, 261,176.85 and 103,217.57

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Solution

The fourth proportional to 189,258.41, 261,176.85 and 103,217.57 is: 142,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,258.41 : 261,176.85 = 103,217.57 : x
  2. Step 2: Convert to fraction form
    189,258.41/261,176.85 = 103,217.57/x
  3. Step 3: Cross multiply
    189,258.41x = 261,176.85 × 103,217.57
  4. Step 4: Simplify right side
    189,258.41x = 26,958,039,281.17
  5. Step 5: Solve for x
    x = 26,958,039,281.17/189,258.41
  6. Step 6: Final answer
    x = 142,440.38

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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.