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Finding the Fourth Proportional to 267,482.64, 369,163.86 and 165,540.96

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Solution

The fourth proportional to 267,482.64, 369,163.86 and 165,540.96 is: 228,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,482.64 : 369,163.86 = 165,540.96 : x
  2. Step 2: Convert to fraction form
    267,482.64/369,163.86 = 165,540.96/x
  3. Step 3: Cross multiply
    267,482.64x = 369,163.86 × 165,540.96
  4. Step 4: Simplify right side
    267,482.64x = 61,111,739,781.71
  5. Step 5: Solve for x
    x = 61,111,739,781.71/267,482.64
  6. Step 6: Final answer
    x = 228,469.93

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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.