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Finding the Fourth Proportional to 237,791.42, 328,193.78 and 180,620

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Solution

The fourth proportional to 237,791.42, 328,193.78 and 180,620 is: 249,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,791.42 : 328,193.78 = 180,620 : x
  2. Step 2: Convert to fraction form
    237,791.42/328,193.78 = 180,620/x
  3. Step 3: Cross multiply
    237,791.42x = 328,193.78 × 180,620
  4. Step 4: Simplify right side
    237,791.42x = 59,278,360,543.60
  5. Step 5: Solve for x
    x = 59,278,360,543.60/237,791.42
  6. Step 6: Final answer
    x = 249,287.21

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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.