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Finding the Fourth Proportional to 123,151.74, 184,670.20 and 63,971.52

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Solution

The fourth proportional to 123,151.74, 184,670.20 and 63,971.52 is: 95,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,151.74 : 184,670.20 = 63,971.52 : x
  2. Step 2: Convert to fraction form
    123,151.74/184,670.20 = 63,971.52/x
  3. Step 3: Cross multiply
    123,151.74x = 184,670.20 × 63,971.52
  4. Step 4: Simplify right side
    123,151.74x = 11,813,633,392.70
  5. Step 5: Solve for x
    x = 11,813,633,392.70/123,151.74
  6. Step 6: Final answer
    x = 95,927.46

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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.