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Finding the Fourth Proportional to 191,968.80, 288,082.80 and 107,728.80

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Solution

The fourth proportional to 191,968.80, 288,082.80 and 107,728.80 is: 161,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,968.80 : 288,082.80 = 107,728.80 : x
  2. Step 2: Convert to fraction form
    191,968.80/288,082.80 = 107,728.80/x
  3. Step 3: Cross multiply
    191,968.80x = 288,082.80 × 107,728.80
  4. Step 4: Simplify right side
    191,968.80x = 31,034,814,344.64
  5. Step 5: Solve for x
    x = 31,034,814,344.64/191,968.80
  6. Step 6: Final answer
    x = 161,665.93

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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.