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Finding the Fourth Proportional to 306,169.49, 459,463.22 and 106,487.88

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Solution

The fourth proportional to 306,169.49, 459,463.22 and 106,487.88 is: 159,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,169.49 : 459,463.22 = 106,487.88 : x
  2. Step 2: Convert to fraction form
    306,169.49/459,463.22 = 106,487.88/x
  3. Step 3: Cross multiply
    306,169.49x = 459,463.22 × 106,487.88
  4. Step 4: Simplify right side
    306,169.49x = 48,927,263,703.33
  5. Step 5: Solve for x
    x = 48,927,263,703.33/306,169.49
  6. Step 6: Final answer
    x = 159,804.51

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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.