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Finding the Fourth Proportional to 150,840.84, 208,231.11 and 87,166.20

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Solution

The fourth proportional to 150,840.84, 208,231.11 and 87,166.20 is: 120,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,840.84 : 208,231.11 = 87,166.20 : x
  2. Step 2: Convert to fraction form
    150,840.84/208,231.11 = 87,166.20/x
  3. Step 3: Cross multiply
    150,840.84x = 208,231.11 × 87,166.20
  4. Step 4: Simplify right side
    150,840.84x = 18,150,714,580.48
  5. Step 5: Solve for x
    x = 18,150,714,580.48/150,840.84
  6. Step 6: Final answer
    x = 120,330.24

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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.