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Finding the Fourth Proportional to 150,826, 208,158.24 and 87,164.32

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Solution

The fourth proportional to 150,826, 208,158.24 and 87,164.32 is: 120,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,826 : 208,158.24 = 87,164.32 : x
  2. Step 2: Convert to fraction form
    150,826/208,158.24 = 87,164.32/x
  3. Step 3: Cross multiply
    150,826x = 208,158.24 × 87,164.32
  4. Step 4: Simplify right side
    150,826x = 18,143,971,442.00
  5. Step 5: Solve for x
    x = 18,143,971,442.00/150,826
  6. Step 6: Final answer
    x = 120,297.37

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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.