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Finding the Fourth Proportional to 309,899.54, 465,098.44 and 160,183.74

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Solution

The fourth proportional to 309,899.54, 465,098.44 and 160,183.74 is: 240,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,899.54 : 465,098.44 = 160,183.74 : x
  2. Step 2: Convert to fraction form
    309,899.54/465,098.44 = 160,183.74/x
  3. Step 3: Cross multiply
    309,899.54x = 465,098.44 × 160,183.74
  4. Step 4: Simplify right side
    309,899.54x = 74,501,207,587.37
  5. Step 5: Solve for x
    x = 74,501,207,587.37/309,899.54
  6. Step 6: Final answer
    x = 240,404.38

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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.