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Finding the Fourth Proportional to 306,133.64, 459,199.82 and 84,517

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Solution

The fourth proportional to 306,133.64, 459,199.82 and 84,517 is: 126,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,133.64 : 459,199.82 = 84,517 : x
  2. Step 2: Convert to fraction form
    306,133.64/459,199.82 = 84,517/x
  3. Step 3: Cross multiply
    306,133.64x = 459,199.82 × 84,517
  4. Step 4: Simplify right side
    306,133.64x = 38,810,191,186.94
  5. Step 5: Solve for x
    x = 38,810,191,186.94/306,133.64
  6. Step 6: Final answer
    x = 126,775.32

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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.