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Finding the Fourth Proportional to 216,138.20, 324,053.70 and 97,866.20

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Solution

The fourth proportional to 216,138.20, 324,053.70 and 97,866.20 is: 146,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,138.20 : 324,053.70 = 97,866.20 : x
  2. Step 2: Convert to fraction form
    216,138.20/324,053.70 = 97,866.20/x
  3. Step 3: Cross multiply
    216,138.20x = 324,053.70 × 97,866.20
  4. Step 4: Simplify right side
    216,138.20x = 31,713,904,214.94
  5. Step 5: Solve for x
    x = 31,713,904,214.94/216,138.20
  6. Step 6: Final answer
    x = 146,729.75

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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.