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Finding the Fourth Proportional to 98,425.20, 135,826.74 and 53,713.20

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Solution

The fourth proportional to 98,425.20, 135,826.74 and 53,713.20 is: 74,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,425.20 : 135,826.74 = 53,713.20 : x
  2. Step 2: Convert to fraction form
    98,425.20/135,826.74 = 53,713.20/x
  3. Step 3: Cross multiply
    98,425.20x = 135,826.74 × 53,713.20
  4. Step 4: Simplify right side
    98,425.20x = 7,295,688,850.97
  5. Step 5: Solve for x
    x = 7,295,688,850.97/98,425.20
  6. Step 6: Final answer
    x = 74,124.20

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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.