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Finding the Fourth Proportional to 98,206, 135,524.28 and 53,494

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Solution

The fourth proportional to 98,206, 135,524.28 and 53,494 is: 73,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206 : 135,524.28 = 53,494 : x
  2. Step 2: Convert to fraction form
    98,206/135,524.28 = 53,494/x
  3. Step 3: Cross multiply
    98,206x = 135,524.28 × 53,494
  4. Step 4: Simplify right side
    98,206x = 7,249,735,834.32
  5. Step 5: Solve for x
    x = 7,249,735,834.32/98,206
  6. Step 6: Final answer
    x = 73,821.72

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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.