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Finding the Fourth Proportional to 238,032, 328,484.16 and 132,048

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Solution

The fourth proportional to 238,032, 328,484.16 and 132,048 is: 182,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,032 : 328,484.16 = 132,048 : x
  2. Step 2: Convert to fraction form
    238,032/328,484.16 = 132,048/x
  3. Step 3: Cross multiply
    238,032x = 328,484.16 × 132,048
  4. Step 4: Simplify right side
    238,032x = 43,375,676,359.68
  5. Step 5: Solve for x
    x = 43,375,676,359.68/238,032
  6. Step 6: Final answer
    x = 182,226.24

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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.