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Finding the Fourth Proportional to 161,950.87, 242,961.11 and 49,638.84

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Solution

The fourth proportional to 161,950.87, 242,961.11 and 49,638.84 is: 74,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,950.87 : 242,961.11 = 49,638.84 : x
  2. Step 2: Convert to fraction form
    161,950.87/242,961.11 = 49,638.84/x
  3. Step 3: Cross multiply
    161,950.87x = 242,961.11 × 49,638.84
  4. Step 4: Simplify right side
    161,950.87x = 12,060,307,665.51
  5. Step 5: Solve for x
    x = 12,060,307,665.51/161,950.87
  6. Step 6: Final answer
    x = 74,468.93

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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.