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Finding the Fourth Proportional to 92,212.70, 138,319.05 and 83,464.70

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Solution

The fourth proportional to 92,212.70, 138,319.05 and 83,464.70 is: 125,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,212.70 : 138,319.05 = 83,464.70 : x
  2. Step 2: Convert to fraction form
    92,212.70/138,319.05 = 83,464.70/x
  3. Step 3: Cross multiply
    92,212.70x = 138,319.05 × 83,464.70
  4. Step 4: Simplify right side
    92,212.70x = 11,544,758,012.54
  5. Step 5: Solve for x
    x = 11,544,758,012.54/92,212.70
  6. Step 6: Final answer
    x = 125,197.05

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