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Finding the Fourth Proportional to 228,947.38, 315,926.22 and 126,970.96

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Solution

The fourth proportional to 228,947.38, 315,926.22 and 126,970.96 is: 175,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,947.38 : 315,926.22 = 126,970.96 : x
  2. Step 2: Convert to fraction form
    228,947.38/315,926.22 = 126,970.96/x
  3. Step 3: Cross multiply
    228,947.38x = 315,926.22 × 126,970.96
  4. Step 4: Simplify right side
    228,947.38x = 40,113,454,652.76
  5. Step 5: Solve for x
    x = 40,113,454,652.76/228,947.38
  6. Step 6: Final answer
    x = 175,208.19

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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.