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Finding the Fourth Proportional to 98,196.75, 135,511.52 and 53,484.75

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Solution

The fourth proportional to 98,196.75, 135,511.52 and 53,484.75 is: 73,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196.75 : 135,511.52 = 53,484.75 : x
  2. Step 2: Convert to fraction form
    98,196.75/135,511.52 = 53,484.75/x
  3. Step 3: Cross multiply
    98,196.75x = 135,511.52 × 53,484.75
  4. Step 4: Simplify right side
    98,196.75x = 7,247,799,501.90
  5. Step 5: Solve for x
    x = 7,247,799,501.90/98,196.75
  6. Step 6: Final answer
    x = 73,808.96

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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.