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Finding the Fourth Proportional to 306,612.22, 459,992.38 and 96,250.16

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Solution

The fourth proportional to 306,612.22, 459,992.38 and 96,250.16 is: 144,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,612.22 : 459,992.38 = 96,250.16 : x
  2. Step 2: Convert to fraction form
    306,612.22/459,992.38 = 96,250.16/x
  3. Step 3: Cross multiply
    306,612.22x = 459,992.38 × 96,250.16
  4. Step 4: Simplify right side
    306,612.22x = 44,274,340,173.78
  5. Step 5: Solve for x
    x = 44,274,340,173.78/306,612.22
  6. Step 6: Final answer
    x = 144,398.49

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Why These Related Problems?

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