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Finding the Fourth Proportional to 206,710.95, 285,243.60 and 116,059.80

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Solution

The fourth proportional to 206,710.95, 285,243.60 and 116,059.80 is: 160,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710.95 : 285,243.60 = 116,059.80 : x
  2. Step 2: Convert to fraction form
    206,710.95/285,243.60 = 116,059.80/x
  3. Step 3: Cross multiply
    206,710.95x = 285,243.60 × 116,059.80
  4. Step 4: Simplify right side
    206,710.95x = 33,105,315,167.28
  5. Step 5: Solve for x
    x = 33,105,315,167.28/206,710.95
  6. Step 6: Final answer
    x = 160,152.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.