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Finding the Fourth Proportional to 267,184.44, 368,775.18 and 166,563

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Solution

The fourth proportional to 267,184.44, 368,775.18 and 166,563 is: 229,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,184.44 : 368,775.18 = 166,563 : x
  2. Step 2: Convert to fraction form
    267,184.44/368,775.18 = 166,563/x
  3. Step 3: Cross multiply
    267,184.44x = 368,775.18 × 166,563
  4. Step 4: Simplify right side
    267,184.44x = 61,424,300,306.34
  5. Step 5: Solve for x
    x = 61,424,300,306.34/267,184.44
  6. Step 6: Final answer
    x = 229,894.75

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Why These Related Problems?

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