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Finding the Fourth Proportional to 142,057.53, 196,113.10 and 103,774.09

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Solution

The fourth proportional to 142,057.53, 196,113.10 and 103,774.09 is: 143,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.53 : 196,113.10 = 103,774.09 : x
  2. Step 2: Convert to fraction form
    142,057.53/196,113.10 = 103,774.09/x
  3. Step 3: Cross multiply
    142,057.53x = 196,113.10 × 103,774.09
  4. Step 4: Simplify right side
    142,057.53x = 20,351,457,970.71
  5. Step 5: Solve for x
    x = 20,351,457,970.71/142,057.53
  6. Step 6: Final answer
    x = 143,262.09

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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.