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Finding the Fourth Proportional to 133,616.30, 200,424.45 and 40,109.90

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Solution

The fourth proportional to 133,616.30, 200,424.45 and 40,109.90 is: 60,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.30 : 200,424.45 = 40,109.90 : x
  2. Step 2: Convert to fraction form
    133,616.30/200,424.45 = 40,109.90/x
  3. Step 3: Cross multiply
    133,616.30x = 200,424.45 × 40,109.90
  4. Step 4: Simplify right side
    133,616.30x = 8,039,004,647.06
  5. Step 5: Solve for x
    x = 8,039,004,647.06/133,616.30
  6. Step 6: Final answer
    x = 60,164.85

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1.5x scale

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.