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Finding the Fourth Proportional to 215,816.40, 323,724.60 and 68,053.20

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Solution

The fourth proportional to 215,816.40, 323,724.60 and 68,053.20 is: 102,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,816.40 : 323,724.60 = 68,053.20 : x
  2. Step 2: Convert to fraction form
    215,816.40/323,724.60 = 68,053.20/x
  3. Step 3: Cross multiply
    215,816.40x = 323,724.60 × 68,053.20
  4. Step 4: Simplify right side
    215,816.40x = 22,030,494,948.72
  5. Step 5: Solve for x
    x = 22,030,494,948.72/215,816.40
  6. Step 6: Final answer
    x = 102,079.80

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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.