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Finding the Fourth Proportional to 98,205.12, 135,518.40 and 55,758

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Solution

The fourth proportional to 98,205.12, 135,518.40 and 55,758 is: 76,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205.12 : 135,518.40 = 55,758 : x
  2. Step 2: Convert to fraction form
    98,205.12/135,518.40 = 55,758/x
  3. Step 3: Cross multiply
    98,205.12x = 135,518.40 × 55,758
  4. Step 4: Simplify right side
    98,205.12x = 7,556,234,947.20
  5. Step 5: Solve for x
    x = 7,556,234,947.20/98,205.12
  6. Step 6: Final answer
    x = 76,943.39

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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.