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Finding the Fourth Proportional to 98,195.61, 135,513.86 and 55,758.09

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Solution

The fourth proportional to 98,195.61, 135,513.86 and 55,758.09 is: 76,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,195.61 : 135,513.86 = 55,758.09 : x
  2. Step 2: Convert to fraction form
    98,195.61/135,513.86 = 55,758.09/x
  3. Step 3: Cross multiply
    98,195.61x = 135,513.86 × 55,758.09
  4. Step 4: Simplify right side
    98,195.61x = 7,555,993,723.34
  5. Step 5: Solve for x
    x = 7,555,993,723.34/98,195.61
  6. Step 6: Final answer
    x = 76,948.39

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1.5x scale

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.