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Finding the Fourth Proportional to 257,847.99, 355,852.74 and 150,452.61

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Solution

The fourth proportional to 257,847.99, 355,852.74 and 150,452.61 is: 207,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,847.99 : 355,852.74 = 150,452.61 : x
  2. Step 2: Convert to fraction form
    257,847.99/355,852.74 = 150,452.61/x
  3. Step 3: Cross multiply
    257,847.99x = 355,852.74 × 150,452.61
  4. Step 4: Simplify right side
    257,847.99x = 53,538,973,508.65
  5. Step 5: Solve for x
    x = 53,538,973,508.65/257,847.99
  6. Step 6: Final answer
    x = 207,637.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.