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Finding the Fourth Proportional to 200,680.50, 301,167.36 and 161,708.16

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Solution

The fourth proportional to 200,680.50, 301,167.36 and 161,708.16 is: 242,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,680.50 : 301,167.36 = 161,708.16 : x
  2. Step 2: Convert to fraction form
    200,680.50/301,167.36 = 161,708.16/x
  3. Step 3: Cross multiply
    200,680.50x = 301,167.36 × 161,708.16
  4. Step 4: Simplify right side
    200,680.50x = 48,701,219,637.66
  5. Step 5: Solve for x
    x = 48,701,219,637.66/200,680.50
  6. Step 6: Final answer
    x = 242,680.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.