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Finding the Fourth Proportional to 306,103.14, 459,153.99 and 81,463.50

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Solution

The fourth proportional to 306,103.14, 459,153.99 and 81,463.50 is: 122,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,103.14 : 459,153.99 = 81,463.50 : x
  2. Step 2: Convert to fraction form
    306,103.14/459,153.99 = 81,463.50/x
  3. Step 3: Cross multiply
    306,103.14x = 459,153.99 × 81,463.50
  4. Step 4: Simplify right side
    306,103.14x = 37,404,291,064.37
  5. Step 5: Solve for x
    x = 37,404,291,064.37/306,103.14
  6. Step 6: Final answer
    x = 122,195.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.