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Finding the Fourth Proportional to 142,477.26, 196,617.81 and 78,813.69

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Solution

The fourth proportional to 142,477.26, 196,617.81 and 78,813.69 is: 108,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477.26 : 196,617.81 = 78,813.69 : x
  2. Step 2: Convert to fraction form
    142,477.26/196,617.81 = 78,813.69/x
  3. Step 3: Cross multiply
    142,477.26x = 196,617.81 × 78,813.69
  4. Step 4: Simplify right side
    142,477.26x = 15,496,175,125.82
  5. Step 5: Solve for x
    x = 15,496,175,125.82/142,477.26
  6. Step 6: Final answer
    x = 108,762.44

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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.