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Finding the Fourth Proportional to 268,194.34, 402,291.50 and 68,515.16

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Solution

The fourth proportional to 268,194.34, 402,291.50 and 68,515.16 is: 102,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,194.34 : 402,291.50 = 68,515.16 : x
  2. Step 2: Convert to fraction form
    268,194.34/402,291.50 = 68,515.16/x
  3. Step 3: Cross multiply
    268,194.34x = 402,291.50 × 68,515.16
  4. Step 4: Simplify right side
    268,194.34x = 27,563,066,489.14
  5. Step 5: Solve for x
    x = 27,563,066,489.14/268,194.34
  6. Step 6: Final answer
    x = 102,772.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.