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Finding the Fourth Proportional to 306,190.91, 459,296.72 and 106,513.02

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Solution

The fourth proportional to 306,190.91, 459,296.72 and 106,513.02 is: 159,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,190.91 : 459,296.72 = 106,513.02 : x
  2. Step 2: Convert to fraction form
    306,190.91/459,296.72 = 106,513.02/x
  3. Step 3: Cross multiply
    306,190.91x = 459,296.72 × 106,513.02
  4. Step 4: Simplify right side
    306,190.91x = 48,921,080,723.29
  5. Step 5: Solve for x
    x = 48,921,080,723.29/306,190.91
  6. Step 6: Final answer
    x = 159,773.13

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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.