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Finding the Fourth Proportional to 205,488.93, 308,074.77 and 130,452.96

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Solution

The fourth proportional to 205,488.93, 308,074.77 and 130,452.96 is: 195,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,488.93 : 308,074.77 = 130,452.96 : x
  2. Step 2: Convert to fraction form
    205,488.93/308,074.77 = 130,452.96/x
  3. Step 3: Cross multiply
    205,488.93x = 308,074.77 × 130,452.96
  4. Step 4: Simplify right side
    205,488.93x = 40,189,265,647.82
  5. Step 5: Solve for x
    x = 40,189,265,647.82/205,488.93
  6. Step 6: Final answer
    x = 195,578.74

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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.