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Finding the Fourth Proportional to 98,194.50, 135,508.41 and 53,482.50

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Solution

The fourth proportional to 98,194.50, 135,508.41 and 53,482.50 is: 73,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194.50 : 135,508.41 = 53,482.50 : x
  2. Step 2: Convert to fraction form
    98,194.50/135,508.41 = 53,482.50/x
  3. Step 3: Cross multiply
    98,194.50x = 135,508.41 × 53,482.50
  4. Step 4: Simplify right side
    98,194.50x = 7,247,328,537.83
  5. Step 5: Solve for x
    x = 7,247,328,537.83/98,194.50
  6. Step 6: Final answer
    x = 73,805.85

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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.