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Finding the Fourth Proportional to 273,376.76, 410,077.48 and 83,823.28

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Solution

The fourth proportional to 273,376.76, 410,077.48 and 83,823.28 is: 125,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,376.76 : 410,077.48 = 83,823.28 : x
  2. Step 2: Convert to fraction form
    273,376.76/410,077.48 = 83,823.28/x
  3. Step 3: Cross multiply
    273,376.76x = 410,077.48 × 83,823.28
  4. Step 4: Simplify right side
    273,376.76x = 34,374,039,427.73
  5. Step 5: Solve for x
    x = 34,374,039,427.73/273,376.76
  6. Step 6: Final answer
    x = 125,738.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.