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Finding the Fourth Proportional to 206,772.14, 285,360.71 and 116,133.48

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Solution

The fourth proportional to 206,772.14, 285,360.71 and 116,133.48 is: 160,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,772.14 : 285,360.71 = 116,133.48 : x
  2. Step 2: Convert to fraction form
    206,772.14/285,360.71 = 116,133.48/x
  3. Step 3: Cross multiply
    206,772.14x = 285,360.71 × 116,133.48
  4. Step 4: Simplify right side
    206,772.14x = 33,139,931,726.90
  5. Step 5: Solve for x
    x = 33,139,931,726.90/206,772.14
  6. Step 6: Final answer
    x = 160,272.71

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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.