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Finding the Fourth Proportional to 82,118.60, 123,032.10 and 76,869.80

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Solution

The fourth proportional to 82,118.60, 123,032.10 and 76,869.80 is: 115,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,118.60 : 123,032.10 = 76,869.80 : x
  2. Step 2: Convert to fraction form
    82,118.60/123,032.10 = 76,869.80/x
  3. Step 3: Cross multiply
    82,118.60x = 123,032.10 × 76,869.80
  4. Step 4: Simplify right side
    82,118.60x = 9,457,452,920.58
  5. Step 5: Solve for x
    x = 9,457,452,920.58/82,118.60
  6. Step 6: Final answer
    x = 115,168.22

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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.