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Finding the Fourth Proportional to 150,809.28, 208,142.40 and 87,184.08

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Solution

The fourth proportional to 150,809.28, 208,142.40 and 87,184.08 is: 120,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,809.28 : 208,142.40 = 87,184.08 : x
  2. Step 2: Convert to fraction form
    150,809.28/208,142.40 = 87,184.08/x
  3. Step 3: Cross multiply
    150,809.28x = 208,142.40 × 87,184.08
  4. Step 4: Simplify right side
    150,809.28x = 18,146,703,652.99
  5. Step 5: Solve for x
    x = 18,146,703,652.99/150,809.28
  6. Step 6: Final answer
    x = 120,328.83

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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.