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Finding the Fourth Proportional to 102,523.56, 141,482.62 and 60,082.14

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Solution

The fourth proportional to 102,523.56, 141,482.62 and 60,082.14 is: 82,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.56 : 141,482.62 = 60,082.14 : x
  2. Step 2: Convert to fraction form
    102,523.56/141,482.62 = 60,082.14/x
  3. Step 3: Cross multiply
    102,523.56x = 141,482.62 × 60,082.14
  4. Step 4: Simplify right side
    102,523.56x = 8,500,578,582.41
  5. Step 5: Solve for x
    x = 8,500,578,582.41/102,523.56
  6. Step 6: Final answer
    x = 82,913.42

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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.