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Finding the Fourth Proportional to 102,216.14, 153,330.69 and 32,098.22

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Solution

The fourth proportional to 102,216.14, 153,330.69 and 32,098.22 is: 48,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.14 : 153,330.69 = 32,098.22 : x
  2. Step 2: Convert to fraction form
    102,216.14/153,330.69 = 32,098.22/x
  3. Step 3: Cross multiply
    102,216.14x = 153,330.69 × 32,098.22
  4. Step 4: Simplify right side
    102,216.14x = 4,921,641,453.72
  5. Step 5: Solve for x
    x = 4,921,641,453.72/102,216.14
  6. Step 6: Final answer
    x = 48,149.36

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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.