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Finding the Fourth Proportional to 238,141.14, 328,651.20 and 157,428.69

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Solution

The fourth proportional to 238,141.14, 328,651.20 and 157,428.69 is: 217,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,141.14 : 328,651.20 = 157,428.69 : x
  2. Step 2: Convert to fraction form
    238,141.14/328,651.20 = 157,428.69/x
  3. Step 3: Cross multiply
    238,141.14x = 328,651.20 × 157,428.69
  4. Step 4: Simplify right side
    238,141.14x = 51,739,127,882.93
  5. Step 5: Solve for x
    x = 51,739,127,882.93/238,141.14
  6. Step 6: Final answer
    x = 217,262.45

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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.