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Finding the Fourth Proportional to 205,987.40, 308,981.10 and 149,562.80

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Solution

The fourth proportional to 205,987.40, 308,981.10 and 149,562.80 is: 224,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.40 : 308,981.10 = 149,562.80 : x
  2. Step 2: Convert to fraction form
    205,987.40/308,981.10 = 149,562.80/x
  3. Step 3: Cross multiply
    205,987.40x = 308,981.10 × 149,562.80
  4. Step 4: Simplify right side
    205,987.40x = 46,212,078,463.08
  5. Step 5: Solve for x
    x = 46,212,078,463.08/205,987.40
  6. Step 6: Final answer
    x = 224,344.20

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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.