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Finding the Fourth Proportional to 145,082.39, 200,213.78 and 81,420.19

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Solution

The fourth proportional to 145,082.39, 200,213.78 and 81,420.19 is: 112,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,082.39 : 200,213.78 = 81,420.19 : x
  2. Step 2: Convert to fraction form
    145,082.39/200,213.78 = 81,420.19/x
  3. Step 3: Cross multiply
    145,082.39x = 200,213.78 × 81,420.19
  4. Step 4: Simplify right side
    145,082.39x = 16,301,443,100.58
  5. Step 5: Solve for x
    x = 16,301,443,100.58/145,082.39
  6. Step 6: Final answer
    x = 112,359.90

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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.