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Finding the Fourth Proportional to 267,855.48, 369,652.14 and 160,443

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Solution

The fourth proportional to 267,855.48, 369,652.14 and 160,443 is: 221,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,855.48 : 369,652.14 = 160,443 : x
  2. Step 2: Convert to fraction form
    267,855.48/369,652.14 = 160,443/x
  3. Step 3: Cross multiply
    267,855.48x = 369,652.14 × 160,443
  4. Step 4: Simplify right side
    267,855.48x = 59,308,098,298.02
  5. Step 5: Solve for x
    x = 59,308,098,298.02/267,855.48
  6. Step 6: Final answer
    x = 221,418.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.