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Finding the Fourth Proportional to 181,969.71, 251,136.89 and 109,396.10

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Solution

The fourth proportional to 181,969.71, 251,136.89 and 109,396.10 is: 150,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,969.71 : 251,136.89 = 109,396.10 : x
  2. Step 2: Convert to fraction form
    181,969.71/251,136.89 = 109,396.10/x
  3. Step 3: Cross multiply
    181,969.71x = 251,136.89 × 109,396.10
  4. Step 4: Simplify right side
    181,969.71x = 27,473,396,332.13
  5. Step 5: Solve for x
    x = 27,473,396,332.13/181,969.71
  6. Step 6: Final answer
    x = 150,977.85

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1.5x scale

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.