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Finding the Fourth Proportional to 161,442.21, 242,163.45 and 77,182.50

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Solution

The fourth proportional to 161,442.21, 242,163.45 and 77,182.50 is: 115,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,442.21 : 242,163.45 = 77,182.50 : x
  2. Step 2: Convert to fraction form
    161,442.21/242,163.45 = 77,182.50/x
  3. Step 3: Cross multiply
    161,442.21x = 242,163.45 × 77,182.50
  4. Step 4: Simplify right side
    161,442.21x = 18,690,780,479.63
  5. Step 5: Solve for x
    x = 18,690,780,479.63/161,442.21
  6. Step 6: Final answer
    x = 115,773.81

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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.