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Finding the Fourth Proportional to 200,960.08, 301,585.93 and 161,987.74

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Solution

The fourth proportional to 200,960.08, 301,585.93 and 161,987.74 is: 243,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.08 : 301,585.93 = 161,987.74 : x
  2. Step 2: Convert to fraction form
    200,960.08/301,585.93 = 161,987.74/x
  3. Step 3: Cross multiply
    200,960.08x = 301,585.93 × 161,987.74
  4. Step 4: Simplify right side
    200,960.08x = 48,853,222,057.56
  5. Step 5: Solve for x
    x = 48,853,222,057.56/200,960.08
  6. Step 6: Final answer
    x = 243,099.14

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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.