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Finding the Fourth Proportional to 188,216.90, 282,265.46 and 61,827.81

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Solution

The fourth proportional to 188,216.90, 282,265.46 and 61,827.81 is: 92,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,216.90 : 282,265.46 = 61,827.81 : x
  2. Step 2: Convert to fraction form
    188,216.90/282,265.46 = 61,827.81/x
  3. Step 3: Cross multiply
    188,216.90x = 282,265.46 × 61,827.81
  4. Step 4: Simplify right side
    188,216.90x = 17,451,854,921.30
  5. Step 5: Solve for x
    x = 17,451,854,921.30/188,216.90
  6. Step 6: Final answer
    x = 92,722.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.