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Finding the Fourth Proportional to 257,796.57, 355,802.04 and 150,366.63

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Solution

The fourth proportional to 257,796.57, 355,802.04 and 150,366.63 is: 207,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.57 : 355,802.04 = 150,366.63 : x
  2. Step 2: Convert to fraction form
    257,796.57/355,802.04 = 150,366.63/x
  3. Step 3: Cross multiply
    257,796.57x = 355,802.04 × 150,366.63
  4. Step 4: Simplify right side
    257,796.57x = 53,500,753,034.80
  5. Step 5: Solve for x
    x = 53,500,753,034.80/257,796.57
  6. Step 6: Final answer
    x = 207,530.90

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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.