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Finding the Fourth Proportional to 206,688.80, 285,228.02 and 116,042.50

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Solution

The fourth proportional to 206,688.80, 285,228.02 and 116,042.50 is: 160,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688.80 : 285,228.02 = 116,042.50 : x
  2. Step 2: Convert to fraction form
    206,688.80/285,228.02 = 116,042.50/x
  3. Step 3: Cross multiply
    206,688.80x = 285,228.02 × 116,042.50
  4. Step 4: Simplify right side
    206,688.80x = 33,098,572,510.85
  5. Step 5: Solve for x
    x = 33,098,572,510.85/206,688.80
  6. Step 6: Final answer
    x = 160,137.23

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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.