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Finding the Fourth Proportional to 161,775.68, 242,664.14 and 49,455.47

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Solution

The fourth proportional to 161,775.68, 242,664.14 and 49,455.47 is: 74,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,775.68 : 242,664.14 = 49,455.47 : x
  2. Step 2: Convert to fraction form
    161,775.68/242,664.14 = 49,455.47/x
  3. Step 3: Cross multiply
    161,775.68x = 242,664.14 × 49,455.47
  4. Step 4: Simplify right side
    161,775.68x = 12,001,067,635.25
  5. Step 5: Solve for x
    x = 12,001,067,635.25/161,775.68
  6. Step 6: Final answer
    x = 74,183.38

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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.