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Finding the Fourth Proportional to 205,414.80, 308,122.20 and 93,094.80

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Solution

The fourth proportional to 205,414.80, 308,122.20 and 93,094.80 is: 139,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.80 : 308,122.20 = 93,094.80 : x
  2. Step 2: Convert to fraction form
    205,414.80/308,122.20 = 93,094.80/x
  3. Step 3: Cross multiply
    205,414.80x = 308,122.20 × 93,094.80
  4. Step 4: Simplify right side
    205,414.80x = 28,684,574,584.56
  5. Step 5: Solve for x
    x = 28,684,574,584.56/205,414.80
  6. Step 6: Final answer
    x = 139,642.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.