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Finding the Fourth Proportional to 201,737.39, 278,412.39 and 144,382.10

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Solution

The fourth proportional to 201,737.39, 278,412.39 and 144,382.10 is: 199,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737.39 : 278,412.39 = 144,382.10 : x
  2. Step 2: Convert to fraction form
    201,737.39/278,412.39 = 144,382.10/x
  3. Step 3: Cross multiply
    201,737.39x = 278,412.39 × 144,382.10
  4. Step 4: Simplify right side
    201,737.39x = 40,197,764,142.16
  5. Step 5: Solve for x
    x = 40,197,764,142.16/201,737.39
  6. Step 6: Final answer
    x = 199,257.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.