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Finding the Fourth Proportional to 161,761.94, 242,642.93 and 49,442.48

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Solution

The fourth proportional to 161,761.94, 242,642.93 and 49,442.48 is: 74,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,761.94 : 242,642.93 = 49,442.48 : x
  2. Step 2: Convert to fraction form
    161,761.94/242,642.93 = 49,442.48/x
  3. Step 3: Cross multiply
    161,761.94x = 242,642.93 × 49,442.48
  4. Step 4: Simplify right side
    161,761.94x = 11,996,868,573.06
  5. Step 5: Solve for x
    x = 11,996,868,573.06/161,761.94
  6. Step 6: Final answer
    x = 74,163.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.