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Finding the Fourth Proportional to 237,893, 328,292.34 and 131,909

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Solution

The fourth proportional to 237,893, 328,292.34 and 131,909 is: 182,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,893 : 328,292.34 = 131,909 : x
  2. Step 2: Convert to fraction form
    237,893/328,292.34 = 131,909/x
  3. Step 3: Cross multiply
    237,893x = 328,292.34 × 131,909
  4. Step 4: Simplify right side
    237,893x = 43,304,714,277.06
  5. Step 5: Solve for x
    x = 43,304,714,277.06/237,893
  6. Step 6: Final answer
    x = 182,034.42

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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.