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Finding the Fourth Proportional to 306,029.59, 459,044.01 and 106,350.01

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Solution

The fourth proportional to 306,029.59, 459,044.01 and 106,350.01 is: 159,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029.59 : 459,044.01 = 106,350.01 : x
  2. Step 2: Convert to fraction form
    306,029.59/459,044.01 = 106,350.01/x
  3. Step 3: Cross multiply
    306,029.59x = 459,044.01 × 106,350.01
  4. Step 4: Simplify right side
    306,029.59x = 48,819,333,906.33
  5. Step 5: Solve for x
    x = 48,819,333,906.33/306,029.59
  6. Step 6: Final answer
    x = 159,524.88

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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.