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Finding the Fourth Proportional to 126,060, 173,971.40 and 77,022.61

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Solution

The fourth proportional to 126,060, 173,971.40 and 77,022.61 is: 106,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,060 : 173,971.40 = 77,022.61 : x
  2. Step 2: Convert to fraction form
    126,060/173,971.40 = 77,022.61/x
  3. Step 3: Cross multiply
    126,060x = 173,971.40 × 77,022.61
  4. Step 4: Simplify right side
    126,060x = 13,399,731,293.35
  5. Step 5: Solve for x
    x = 13,399,731,293.35/126,060
  6. Step 6: Final answer
    x = 106,296.46

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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.