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Finding the Fourth Proportional to 126,061, 173,972.78 and 77,023.61

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Solution

The fourth proportional to 126,061, 173,972.78 and 77,023.61 is: 106,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,061 : 173,972.78 = 77,023.61 : x
  2. Step 2: Convert to fraction form
    126,061/173,972.78 = 77,023.61/x
  3. Step 3: Cross multiply
    126,061x = 173,972.78 × 77,023.61
  4. Step 4: Simplify right side
    126,061x = 13,400,011,557.34
  5. Step 5: Solve for x
    x = 13,400,011,557.34/126,061
  6. Step 6: Final answer
    x = 106,297.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.