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Finding the Fourth Proportional to 268,218.42, 402,326.48 and 68,538.50

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Solution

The fourth proportional to 268,218.42, 402,326.48 and 68,538.50 is: 102,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,218.42 : 402,326.48 = 68,538.50 : x
  2. Step 2: Convert to fraction form
    268,218.42/402,326.48 = 68,538.50/x
  3. Step 3: Cross multiply
    268,218.42x = 402,326.48 × 68,538.50
  4. Step 4: Simplify right side
    268,218.42x = 27,574,853,449.48
  5. Step 5: Solve for x
    x = 27,574,853,449.48/268,218.42
  6. Step 6: Final answer
    x = 102,807.46

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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.