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Finding the Fourth Proportional to 200,756.76, 277,067.48 and 120,184.24

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Solution

The fourth proportional to 200,756.76, 277,067.48 and 120,184.24 is: 165,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,756.76 : 277,067.48 = 120,184.24 : x
  2. Step 2: Convert to fraction form
    200,756.76/277,067.48 = 120,184.24/x
  3. Step 3: Cross multiply
    200,756.76x = 277,067.48 × 120,184.24
  4. Step 4: Simplify right side
    200,756.76x = 33,299,144,512.52
  5. Step 5: Solve for x
    x = 33,299,144,512.52/200,756.76
  6. Step 6: Final answer
    x = 165,868.11

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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.