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Finding the Fourth Proportional to 91,563.14, 126,233.10 and 78,277.12

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Solution

The fourth proportional to 91,563.14, 126,233.10 and 78,277.12 is: 107,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,563.14 : 126,233.10 = 78,277.12 : x
  2. Step 2: Convert to fraction form
    91,563.14/126,233.10 = 78,277.12/x
  3. Step 3: Cross multiply
    91,563.14x = 126,233.10 × 78,277.12
  4. Step 4: Simplify right side
    91,563.14x = 9,881,163,201.09
  5. Step 5: Solve for x
    x = 9,881,163,201.09/91,563.14
  6. Step 6: Final answer
    x = 107,916.38

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Why These Related Problems?

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