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Finding the Fourth Proportional to 213,162.48, 294,259.86 and 140,608.17

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Solution

The fourth proportional to 213,162.48, 294,259.86 and 140,608.17 is: 194,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,162.48 : 294,259.86 = 140,608.17 : x
  2. Step 2: Convert to fraction form
    213,162.48/294,259.86 = 140,608.17/x
  3. Step 3: Cross multiply
    213,162.48x = 294,259.86 × 140,608.17
  4. Step 4: Simplify right side
    213,162.48x = 41,375,340,419.06
  5. Step 5: Solve for x
    x = 41,375,340,419.06/213,162.48
  6. Step 6: Final answer
    x = 194,102.36

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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.