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Finding the Fourth Proportional to 204,122.80, 306,184.20 and 93,314.80

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Solution

The fourth proportional to 204,122.80, 306,184.20 and 93,314.80 is: 139,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,122.80 : 306,184.20 = 93,314.80 : x
  2. Step 2: Convert to fraction form
    204,122.80/306,184.20 = 93,314.80/x
  3. Step 3: Cross multiply
    204,122.80x = 306,184.20 × 93,314.80
  4. Step 4: Simplify right side
    204,122.80x = 28,571,517,386.16
  5. Step 5: Solve for x
    x = 28,571,517,386.16/204,122.80
  6. Step 6: Final answer
    x = 139,972.20

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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.