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Finding the Fourth Proportional to 142,396.53, 196,499.36 and 78,730.13

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Solution

The fourth proportional to 142,396.53, 196,499.36 and 78,730.13 is: 108,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,396.53 : 196,499.36 = 78,730.13 : x
  2. Step 2: Convert to fraction form
    142,396.53/196,499.36 = 78,730.13/x
  3. Step 3: Cross multiply
    142,396.53x = 196,499.36 × 78,730.13
  4. Step 4: Simplify right side
    142,396.53x = 15,470,419,175.22
  5. Step 5: Solve for x
    x = 15,470,419,175.22/142,396.53
  6. Step 6: Final answer
    x = 108,643.23

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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.