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Finding the Fourth Proportional to 102,201.90, 153,327.36 and 32,081.22

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Solution

The fourth proportional to 102,201.90, 153,327.36 and 32,081.22 is: 48,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.90 : 153,327.36 = 32,081.22 : x
  2. Step 2: Convert to fraction form
    102,201.90/153,327.36 = 32,081.22/x
  3. Step 3: Cross multiply
    102,201.90x = 153,327.36 × 32,081.22
  4. Step 4: Simplify right side
    102,201.90x = 4,918,928,768.18
  5. Step 5: Solve for x
    x = 4,918,928,768.18/102,201.90
  6. Step 6: Final answer
    x = 48,129.52

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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.