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Finding the Fourth Proportional to 454,246.84, 681,467.46 and 138,727

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Solution

The fourth proportional to 454,246.84, 681,467.46 and 138,727 is: 208,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,246.84 : 681,467.46 = 138,727 : x
  2. Step 2: Convert to fraction form
    454,246.84/681,467.46 = 138,727/x
  3. Step 3: Cross multiply
    454,246.84x = 681,467.46 × 138,727
  4. Step 4: Simplify right side
    454,246.84x = 94,537,936,323.42
  5. Step 5: Solve for x
    x = 94,537,936,323.42/454,246.84
  6. Step 6: Final answer
    x = 208,120.18

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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.