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Finding the Fourth Proportional to 183,082.44, 274,727.46 and 98,841.48

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Solution

The fourth proportional to 183,082.44, 274,727.46 and 98,841.48 is: 148,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,082.44 : 274,727.46 = 98,841.48 : x
  2. Step 2: Convert to fraction form
    183,082.44/274,727.46 = 98,841.48/x
  3. Step 3: Cross multiply
    183,082.44x = 274,727.46 × 98,841.48
  4. Step 4: Simplify right side
    183,082.44x = 27,154,468,743.04
  5. Step 5: Solve for x
    x = 27,154,468,743.04/183,082.44
  6. Step 6: Final answer
    x = 148,318.26

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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.