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Finding the Fourth Proportional to 110,214, 152,094.96 and 59,912.64

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Solution

The fourth proportional to 110,214, 152,094.96 and 59,912.64 is: 82,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214 : 152,094.96 = 59,912.64 : x
  2. Step 2: Convert to fraction form
    110,214/152,094.96 = 59,912.64/x
  3. Step 3: Cross multiply
    110,214x = 152,094.96 × 59,912.64
  4. Step 4: Simplify right side
    110,214x = 9,112,410,584.29
  5. Step 5: Solve for x
    x = 9,112,410,584.29/110,214
  6. Step 6: Final answer
    x = 82,679.25

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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.