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Finding the Fourth Proportional to 161,805.16, 242,709.01 and 49,487.42

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Solution

The fourth proportional to 161,805.16, 242,709.01 and 49,487.42 is: 74,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805.16 : 242,709.01 = 49,487.42 : x
  2. Step 2: Convert to fraction form
    161,805.16/242,709.01 = 49,487.42/x
  3. Step 3: Cross multiply
    161,805.16x = 242,709.01 × 49,487.42
  4. Step 4: Simplify right side
    161,805.16x = 12,011,043,198.71
  5. Step 5: Solve for x
    x = 12,011,043,198.71/161,805.16
  6. Step 6: Final answer
    x = 74,231.52

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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.