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Finding the Fourth Proportional to 201,384, 277,921.44 and 111,965.76

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Solution

The fourth proportional to 201,384, 277,921.44 and 111,965.76 is: 154,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384 : 277,921.44 = 111,965.76 : x
  2. Step 2: Convert to fraction form
    201,384/277,921.44 = 111,965.76/x
  3. Step 3: Cross multiply
    201,384x = 277,921.44 × 111,965.76
  4. Step 4: Simplify right side
    201,384x = 31,117,685,249.89
  5. Step 5: Solve for x
    x = 31,117,685,249.89/201,384
  6. Step 6: Final answer
    x = 154,519.15

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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.