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Finding the Fourth Proportional to 238,320.71, 328,745.31 and 142,772.06

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Solution

The fourth proportional to 238,320.71, 328,745.31 and 142,772.06 is: 196,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,320.71 : 328,745.31 = 142,772.06 : x
  2. Step 2: Convert to fraction form
    238,320.71/328,745.31 = 142,772.06/x
  3. Step 3: Cross multiply
    238,320.71x = 328,745.31 × 142,772.06
  4. Step 4: Simplify right side
    238,320.71x = 46,935,645,124.04
  5. Step 5: Solve for x
    x = 46,935,645,124.04/238,320.71
  6. Step 6: Final answer
    x = 196,943.21

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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.