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Finding the Fourth Proportional to 92,094.22, 138,141.60 and 75,568.60

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Solution

The fourth proportional to 92,094.22, 138,141.60 and 75,568.60 is: 113,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094.22 : 138,141.60 = 75,568.60 : x
  2. Step 2: Convert to fraction form
    92,094.22/138,141.60 = 75,568.60/x
  3. Step 3: Cross multiply
    92,094.22x = 138,141.60 × 75,568.60
  4. Step 4: Simplify right side
    92,094.22x = 10,439,167,313.76
  5. Step 5: Solve for x
    x = 10,439,167,313.76/92,094.22
  6. Step 6: Final answer
    x = 113,353.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.