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Finding the Fourth Proportional to 102,059.20, 153,069.36 and 49,444.96

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Solution

The fourth proportional to 102,059.20, 153,069.36 and 49,444.96 is: 74,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.20 : 153,069.36 = 49,444.96 : x
  2. Step 2: Convert to fraction form
    102,059.20/153,069.36 = 49,444.96/x
  3. Step 3: Cross multiply
    102,059.20x = 153,069.36 × 49,444.96
  4. Step 4: Simplify right side
    102,059.20x = 7,568,508,382.43
  5. Step 5: Solve for x
    x = 7,568,508,382.43/102,059.20
  6. Step 6: Final answer
    x = 74,158.02

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