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Finding the Fourth Proportional to 133,952.01, 200,963.03 and 77,738.08

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Solution

The fourth proportional to 133,952.01, 200,963.03 and 77,738.08 is: 116,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,952.01 : 200,963.03 = 77,738.08 : x
  2. Step 2: Convert to fraction form
    133,952.01/200,963.03 = 77,738.08/x
  3. Step 3: Cross multiply
    133,952.01x = 200,963.03 × 77,738.08
  4. Step 4: Simplify right side
    133,952.01x = 15,622,480,103.18
  5. Step 5: Solve for x
    x = 15,622,480,103.18/133,952.01
  6. Step 6: Final answer
    x = 116,627.44

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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.