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Finding the Fourth Proportional to 121,657.70, 182,362.35 and 82,218.80

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Solution

The fourth proportional to 121,657.70, 182,362.35 and 82,218.80 is: 123,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,657.70 : 182,362.35 = 82,218.80 : x
  2. Step 2: Convert to fraction form
    121,657.70/182,362.35 = 82,218.80/x
  3. Step 3: Cross multiply
    121,657.70x = 182,362.35 × 82,218.80
  4. Step 4: Simplify right side
    121,657.70x = 14,993,613,582.18
  5. Step 5: Solve for x
    x = 14,993,613,582.18/121,657.70
  6. Step 6: Final answer
    x = 123,244.26

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