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Finding the Fourth Proportional to 420,252.18, 630,382.56 and 120,732

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Solution

The fourth proportional to 420,252.18, 630,382.56 and 120,732 is: 181,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,252.18 : 630,382.56 = 120,732 : x
  2. Step 2: Convert to fraction form
    420,252.18/630,382.56 = 120,732/x
  3. Step 3: Cross multiply
    420,252.18x = 630,382.56 × 120,732
  4. Step 4: Simplify right side
    420,252.18x = 76,107,347,233.92
  5. Step 5: Solve for x
    x = 76,107,347,233.92/420,252.18
  6. Step 6: Final answer
    x = 181,099.23

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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.