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Finding the Fourth Proportional to 268,452.69, 402,681.46 and 81,464.19

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Solution

The fourth proportional to 268,452.69, 402,681.46 and 81,464.19 is: 122,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,452.69 : 402,681.46 = 81,464.19 : x
  2. Step 2: Convert to fraction form
    268,452.69/402,681.46 = 81,464.19/x
  3. Step 3: Cross multiply
    268,452.69x = 402,681.46 × 81,464.19
  4. Step 4: Simplify right side
    268,452.69x = 32,804,118,966.92
  5. Step 5: Solve for x
    x = 32,804,118,966.92/268,452.69
  6. Step 6: Final answer
    x = 122,197.02

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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.