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Finding the Fourth Proportional to 268,568.73, 402,490.22 and 102,266.01

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Solution

The fourth proportional to 268,568.73, 402,490.22 and 102,266.01 is: 153,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,568.73 : 402,490.22 = 102,266.01 : x
  2. Step 2: Convert to fraction form
    268,568.73/402,490.22 = 102,266.01/x
  3. Step 3: Cross multiply
    268,568.73x = 402,490.22 × 102,266.01
  4. Step 4: Simplify right side
    268,568.73x = 41,161,068,352.09
  5. Step 5: Solve for x
    x = 41,161,068,352.09/268,568.73
  6. Step 6: Final answer
    x = 153,260.84

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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.