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Finding the Fourth Proportional to 200,768.70, 277,062.22 and 110,125.34

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Solution

The fourth proportional to 200,768.70, 277,062.22 and 110,125.34 is: 151,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.70 : 277,062.22 = 110,125.34 : x
  2. Step 2: Convert to fraction form
    200,768.70/277,062.22 = 110,125.34/x
  3. Step 3: Cross multiply
    200,768.70x = 277,062.22 × 110,125.34
  4. Step 4: Simplify right side
    200,768.70x = 30,511,571,178.65
  5. Step 5: Solve for x
    x = 30,511,571,178.65/200,768.70
  6. Step 6: Final answer
    x = 151,973.74

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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.