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Finding the Fourth Proportional to 161,338.84, 242,008.12 and 49,018.60

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Solution

The fourth proportional to 161,338.84, 242,008.12 and 49,018.60 is: 73,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,338.84 : 242,008.12 = 49,018.60 : x
  2. Step 2: Convert to fraction form
    161,338.84/242,008.12 = 49,018.60/x
  3. Step 3: Cross multiply
    161,338.84x = 242,008.12 × 49,018.60
  4. Step 4: Simplify right side
    161,338.84x = 11,862,899,231.03
  5. Step 5: Solve for x
    x = 11,862,899,231.03/161,338.84
  6. Step 6: Final answer
    x = 73,527.86

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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.