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Finding the Fourth Proportional to 205,418.40, 308,127.60 and 72,297.60

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Solution

The fourth proportional to 205,418.40, 308,127.60 and 72,297.60 is: 108,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.40 : 308,127.60 = 72,297.60 : x
  2. Step 2: Convert to fraction form
    205,418.40/308,127.60 = 72,297.60/x
  3. Step 3: Cross multiply
    205,418.40x = 308,127.60 × 72,297.60
  4. Step 4: Simplify right side
    205,418.40x = 22,276,885,973.76
  5. Step 5: Solve for x
    x = 22,276,885,973.76/205,418.40
  6. Step 6: Final answer
    x = 108,446.40

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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.