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Finding the Fourth Proportional to 306,104.14, 459,155.49 and 81,464.50

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Solution

The fourth proportional to 306,104.14, 459,155.49 and 81,464.50 is: 122,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,104.14 : 459,155.49 = 81,464.50 : x
  2. Step 2: Convert to fraction form
    306,104.14/459,155.49 = 81,464.50/x
  3. Step 3: Cross multiply
    306,104.14x = 459,155.49 × 81,464.50
  4. Step 4: Simplify right side
    306,104.14x = 37,404,872,415.11
  5. Step 5: Solve for x
    x = 37,404,872,415.11/306,104.14
  6. Step 6: Final answer
    x = 122,196.56

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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.