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Finding the Fourth Proportional to 133,643, 200,324.12 and 49,349.44

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Solution

The fourth proportional to 133,643, 200,324.12 and 49,349.44 is: 73,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,643 : 200,324.12 = 49,349.44 : x
  2. Step 2: Convert to fraction form
    133,643/200,324.12 = 49,349.44/x
  3. Step 3: Cross multiply
    133,643x = 200,324.12 × 49,349.44
  4. Step 4: Simplify right side
    133,643x = 9,885,883,140.49
  5. Step 5: Solve for x
    x = 9,885,883,140.49/133,643
  6. Step 6: Final answer
    x = 73,972.32

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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.