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Finding the Fourth Proportional to 145,542.14, 200,847.84 and 81,880

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Solution

The fourth proportional to 145,542.14, 200,847.84 and 81,880 is: 112,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.14 : 200,847.84 = 81,880 : x
  2. Step 2: Convert to fraction form
    145,542.14/200,847.84 = 81,880/x
  3. Step 3: Cross multiply
    145,542.14x = 200,847.84 × 81,880
  4. Step 4: Simplify right side
    145,542.14x = 16,445,421,139.20
  5. Step 5: Solve for x
    x = 16,445,421,139.20/145,542.14
  6. Step 6: Final answer
    x = 112,994.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.