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Finding the Fourth Proportional to 277,185.51, 415,774.62 and 66,821.76

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Solution

The fourth proportional to 277,185.51, 415,774.62 and 66,821.76 is: 100,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,185.51 : 415,774.62 = 66,821.76 : x
  2. Step 2: Convert to fraction form
    277,185.51/415,774.62 = 66,821.76/x
  3. Step 3: Cross multiply
    277,185.51x = 415,774.62 × 66,821.76
  4. Step 4: Simplify right side
    277,185.51x = 27,782,791,871.73
  5. Step 5: Solve for x
    x = 27,782,791,871.73/277,185.51
  6. Step 6: Final answer
    x = 100,231.76

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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.