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Finding the Fourth Proportional to 268,382.30, 402,622.65 and 110,524.64

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Solution

The fourth proportional to 268,382.30, 402,622.65 and 110,524.64 is: 165,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,382.30 : 402,622.65 = 110,524.64 : x
  2. Step 2: Convert to fraction form
    268,382.30/402,622.65 = 110,524.64/x
  3. Step 3: Cross multiply
    268,382.30x = 402,622.65 × 110,524.64
  4. Step 4: Simplify right side
    268,382.30x = 44,499,721,433.98
  5. Step 5: Solve for x
    x = 44,499,721,433.98/268,382.30
  6. Step 6: Final answer
    x = 165,807.22

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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.