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Finding the Fourth Proportional to 137,814.30, 190,172.07 and 77,380.20

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Solution

The fourth proportional to 137,814.30, 190,172.07 and 77,380.20 is: 106,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,814.30 : 190,172.07 = 77,380.20 : x
  2. Step 2: Convert to fraction form
    137,814.30/190,172.07 = 77,380.20/x
  3. Step 3: Cross multiply
    137,814.30x = 190,172.07 × 77,380.20
  4. Step 4: Simplify right side
    137,814.30x = 14,715,552,811.01
  5. Step 5: Solve for x
    x = 14,715,552,811.01/137,814.30
  6. Step 6: Final answer
    x = 106,778.13

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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.