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Finding the Fourth Proportional to 268,102.10, 402,152.83 and 68,422.48

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Solution

The fourth proportional to 268,102.10, 402,152.83 and 68,422.48 is: 102,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,102.10 : 402,152.83 = 68,422.48 : x
  2. Step 2: Convert to fraction form
    268,102.10/402,152.83 = 68,422.48/x
  3. Step 3: Cross multiply
    268,102.10x = 402,152.83 × 68,422.48
  4. Step 4: Simplify right side
    268,102.10x = 27,516,293,967.62
  5. Step 5: Solve for x
    x = 27,516,293,967.62/268,102.10
  6. Step 6: Final answer
    x = 102,633.64

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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.