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Finding the Fourth Proportional to 199,258.41, 274,821.06 and 127,645.11

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Solution

The fourth proportional to 199,258.41, 274,821.06 and 127,645.11 is: 176,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,258.41 : 274,821.06 = 127,645.11 : x
  2. Step 2: Convert to fraction form
    199,258.41/274,821.06 = 127,645.11/x
  3. Step 3: Cross multiply
    199,258.41x = 274,821.06 × 127,645.11
  4. Step 4: Simplify right side
    199,258.41x = 35,079,564,434.02
  5. Step 5: Solve for x
    x = 35,079,564,434.02/199,258.41
  6. Step 6: Final answer
    x = 176,050.61

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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.