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Finding the Fourth Proportional to 161,613.90, 242,350.46 and 54,968.98

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Solution

The fourth proportional to 161,613.90, 242,350.46 and 54,968.98 is: 82,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,613.90 : 242,350.46 = 54,968.98 : x
  2. Step 2: Convert to fraction form
    161,613.90/242,350.46 = 54,968.98/x
  3. Step 3: Cross multiply
    161,613.90x = 242,350.46 × 54,968.98
  4. Step 4: Simplify right side
    161,613.90x = 13,321,757,588.73
  5. Step 5: Solve for x
    x = 13,321,757,588.73/161,613.90
  6. Step 6: Final answer
    x = 82,429.53

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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.