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Finding the Fourth Proportional to 78,166, 107,958.18 and 52,971.76

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Solution

The fourth proportional to 78,166, 107,958.18 and 52,971.76 is: 73,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166 : 107,958.18 = 52,971.76 : x
  2. Step 2: Convert to fraction form
    78,166/107,958.18 = 52,971.76/x
  3. Step 3: Cross multiply
    78,166x = 107,958.18 × 52,971.76
  4. Step 4: Simplify right side
    78,166x = 5,718,734,801.00
  5. Step 5: Solve for x
    x = 5,718,734,801.00/78,166
  6. Step 6: Final answer
    x = 73,161.41

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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.