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Finding the Fourth Proportional to 205,517.70, 308,203.65 and 72,402.30

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Solution

The fourth proportional to 205,517.70, 308,203.65 and 72,402.30 is: 108,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,517.70 : 308,203.65 = 72,402.30 : x
  2. Step 2: Convert to fraction form
    205,517.70/308,203.65 = 72,402.30/x
  3. Step 3: Cross multiply
    205,517.70x = 308,203.65 × 72,402.30
  4. Step 4: Simplify right side
    205,517.70x = 22,314,653,128.40
  5. Step 5: Solve for x
    x = 22,314,653,128.40/205,517.70
  6. Step 6: Final answer
    x = 108,577.77

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1.5x scale

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.