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Finding the Fourth Proportional to 200,777.40, 277,081.50 and 120,189.33

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Solution

The fourth proportional to 200,777.40, 277,081.50 and 120,189.33 is: 165,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.40 : 277,081.50 = 120,189.33 : x
  2. Step 2: Convert to fraction form
    200,777.40/277,081.50 = 120,189.33/x
  3. Step 3: Cross multiply
    200,777.40x = 277,081.50 × 120,189.33
  4. Step 4: Simplify right side
    200,777.40x = 33,302,239,840.40
  5. Step 5: Solve for x
    x = 33,302,239,840.40/200,777.40
  6. Step 6: Final answer
    x = 165,866.48

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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.