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Finding the Fourth Proportional to 257,059.08, 385,655.10 and 150,533

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Solution

The fourth proportional to 257,059.08, 385,655.10 and 150,533 is: 225,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.08 : 385,655.10 = 150,533 : x
  2. Step 2: Convert to fraction form
    257,059.08/385,655.10 = 150,533/x
  3. Step 3: Cross multiply
    257,059.08x = 385,655.10 × 150,533
  4. Step 4: Simplify right side
    257,059.08x = 58,053,819,168.30
  5. Step 5: Solve for x
    x = 58,053,819,168.30/257,059.08
  6. Step 6: Final answer
    x = 225,838.43

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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.