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Finding the Fourth Proportional to 234,106.30, 323,067.81 and 132,136.08

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Solution

The fourth proportional to 234,106.30, 323,067.81 and 132,136.08 is: 182,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,106.30 : 323,067.81 = 132,136.08 : x
  2. Step 2: Convert to fraction form
    234,106.30/323,067.81 = 132,136.08/x
  3. Step 3: Cross multiply
    234,106.30x = 323,067.81 × 132,136.08
  4. Step 4: Simplify right side
    234,106.30x = 42,688,913,987.58
  5. Step 5: Solve for x
    x = 42,688,913,987.58/234,106.30
  6. Step 6: Final answer
    x = 182,348.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.