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Finding the Fourth Proportional to 257,793.69, 355,798.05 and 150,363.72

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Solution

The fourth proportional to 257,793.69, 355,798.05 and 150,363.72 is: 207,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,793.69 : 355,798.05 = 150,363.72 : x
  2. Step 2: Convert to fraction form
    257,793.69/355,798.05 = 150,363.72/x
  3. Step 3: Cross multiply
    257,793.69x = 355,798.05 × 150,363.72
  4. Step 4: Simplify right side
    257,793.69x = 53,499,118,366.75
  5. Step 5: Solve for x
    x = 53,499,118,366.75/257,793.69
  6. Step 6: Final answer
    x = 207,526.87

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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.