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Finding the Fourth Proportional to 108,082.14, 148,823.18 and 97,944.64

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Solution

The fourth proportional to 108,082.14, 148,823.18 and 97,944.64 is: 134,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082.14 : 148,823.18 = 97,944.64 : x
  2. Step 2: Convert to fraction form
    108,082.14/148,823.18 = 97,944.64/x
  3. Step 3: Cross multiply
    108,082.14x = 148,823.18 × 97,944.64
  4. Step 4: Simplify right side
    108,082.14x = 14,576,432,416.70
  5. Step 5: Solve for x
    x = 14,576,432,416.70/108,082.14
  6. Step 6: Final answer
    x = 134,864.39

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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.