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Finding the Fourth Proportional to 277,196.51, 415,791.12 and 66,832.76

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Solution

The fourth proportional to 277,196.51, 415,791.12 and 66,832.76 is: 100,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,196.51 : 415,791.12 = 66,832.76 : x
  2. Step 2: Convert to fraction form
    277,196.51/415,791.12 = 66,832.76/x
  3. Step 3: Cross multiply
    277,196.51x = 415,791.12 × 66,832.76
  4. Step 4: Simplify right side
    277,196.51x = 27,788,468,133.09
  5. Step 5: Solve for x
    x = 27,788,468,133.09/277,196.51
  6. Step 6: Final answer
    x = 100,248.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.