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Finding the Fourth Proportional to 257,793.90, 355,675.80 and 150,287.82

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Solution

The fourth proportional to 257,793.90, 355,675.80 and 150,287.82 is: 207,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,793.90 : 355,675.80 = 150,287.82 : x
  2. Step 2: Convert to fraction form
    257,793.90/355,675.80 = 150,287.82/x
  3. Step 3: Cross multiply
    257,793.90x = 355,675.80 × 150,287.82
  4. Step 4: Simplify right side
    257,793.90x = 53,453,740,608.76
  5. Step 5: Solve for x
    x = 53,453,740,608.76/257,793.90
  6. Step 6: Final answer
    x = 207,350.68

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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.