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Finding the Fourth Proportional to 402,067.41, 602,967.30 and 162,119.33

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Solution

The fourth proportional to 402,067.41, 602,967.30 and 162,119.33 is: 243,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,067.41 : 602,967.30 = 162,119.33 : x
  2. Step 2: Convert to fraction form
    402,067.41/602,967.30 = 162,119.33/x
  3. Step 3: Cross multiply
    402,067.41x = 602,967.30 × 162,119.33
  4. Step 4: Simplify right side
    402,067.41x = 97,752,654,687.91
  5. Step 5: Solve for x
    x = 97,752,654,687.91/402,067.41
  6. Step 6: Final answer
    x = 243,125.04

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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.