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Finding the Fourth Proportional to 228,851.83, 315,823.00 and 126,886.78

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Solution

The fourth proportional to 228,851.83, 315,823.00 and 126,886.78 is: 175,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,851.83 : 315,823.00 = 126,886.78 : x
  2. Step 2: Convert to fraction form
    228,851.83/315,823.00 = 126,886.78/x
  3. Step 3: Cross multiply
    228,851.83x = 315,823.00 × 126,886.78
  4. Step 4: Simplify right side
    228,851.83x = 40,073,762,947.16
  5. Step 5: Solve for x
    x = 40,073,762,947.16/228,851.83
  6. Step 6: Final answer
    x = 175,107.90

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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.