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Finding the Fourth Proportional to 140,297.17, 210,476.85 and 40,449.57

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Solution

The fourth proportional to 140,297.17, 210,476.85 and 40,449.57 is: 60,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297.17 : 210,476.85 = 40,449.57 : x
  2. Step 2: Convert to fraction form
    140,297.17/210,476.85 = 40,449.57/x
  3. Step 3: Cross multiply
    140,297.17x = 210,476.85 × 40,449.57
  4. Step 4: Simplify right side
    140,297.17x = 8,513,699,018.43
  5. Step 5: Solve for x
    x = 8,513,699,018.43/140,297.17
  6. Step 6: Final answer
    x = 60,683.33

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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.