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Finding the Fourth Proportional to 120,882.30, 181,323.45 and 92,856.30

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Solution

The fourth proportional to 120,882.30, 181,323.45 and 92,856.30 is: 139,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,882.30 : 181,323.45 = 92,856.30 : x
  2. Step 2: Convert to fraction form
    120,882.30/181,323.45 = 92,856.30/x
  3. Step 3: Cross multiply
    120,882.30x = 181,323.45 × 92,856.30
  4. Step 4: Simplify right side
    120,882.30x = 16,837,024,670.24
  5. Step 5: Solve for x
    x = 16,837,024,670.24/120,882.30
  6. Step 6: Final answer
    x = 139,284.45

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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.