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Finding the Fourth Proportional to 90,657.94, 125,116.41 and 54,856.78

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Solution

The fourth proportional to 90,657.94, 125,116.41 and 54,856.78 is: 75,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,657.94 : 125,116.41 = 54,856.78 : x
  2. Step 2: Convert to fraction form
    90,657.94/125,116.41 = 54,856.78/x
  3. Step 3: Cross multiply
    90,657.94x = 125,116.41 × 54,856.78
  4. Step 4: Simplify right side
    90,657.94x = 6,863,483,377.76
  5. Step 5: Solve for x
    x = 6,863,483,377.76/90,657.94
  6. Step 6: Final answer
    x = 75,707.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.