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Finding the Fourth Proportional to 237,793.42, 328,196.54 and 180,622

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Solution

The fourth proportional to 237,793.42, 328,196.54 and 180,622 is: 249,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,793.42 : 328,196.54 = 180,622 : x
  2. Step 2: Convert to fraction form
    237,793.42/328,196.54 = 180,622/x
  3. Step 3: Cross multiply
    237,793.42x = 328,196.54 × 180,622
  4. Step 4: Simplify right side
    237,793.42x = 59,279,515,447.88
  5. Step 5: Solve for x
    x = 59,279,515,447.88/237,793.42
  6. Step 6: Final answer
    x = 249,289.97

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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.