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Finding the Fourth Proportional to 200,847.84, 277,194.60 and 115,964.76

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Solution

The fourth proportional to 200,847.84, 277,194.60 and 115,964.76 is: 160,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,847.84 : 277,194.60 = 115,964.76 : x
  2. Step 2: Convert to fraction form
    200,847.84/277,194.60 = 115,964.76/x
  3. Step 3: Cross multiply
    200,847.84x = 277,194.60 × 115,964.76
  4. Step 4: Simplify right side
    200,847.84x = 32,144,805,262.30
  5. Step 5: Solve for x
    x = 32,144,805,262.30/200,847.84
  6. Step 6: Final answer
    x = 160,045.56

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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.