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Finding the Fourth Proportional to 142,057.56, 196,113.14 and 103,774.12

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Solution

The fourth proportional to 142,057.56, 196,113.14 and 103,774.12 is: 143,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.56 : 196,113.14 = 103,774.12 : x
  2. Step 2: Convert to fraction form
    142,057.56/196,113.14 = 103,774.12/x
  3. Step 3: Cross multiply
    142,057.56x = 196,113.14 × 103,774.12
  4. Step 4: Simplify right side
    142,057.56x = 20,351,468,523.94
  5. Step 5: Solve for x
    x = 20,351,468,523.94/142,057.56
  6. Step 6: Final answer
    x = 143,262.13

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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.