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Finding the Fourth Proportional to 223,766.16, 308,727.60 and 126,954

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Solution

The fourth proportional to 223,766.16, 308,727.60 and 126,954 is: 175,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,766.16 : 308,727.60 = 126,954 : x
  2. Step 2: Convert to fraction form
    223,766.16/308,727.60 = 126,954/x
  3. Step 3: Cross multiply
    223,766.16x = 308,727.60 × 126,954
  4. Step 4: Simplify right side
    223,766.16x = 39,194,203,730.40
  5. Step 5: Solve for x
    x = 39,194,203,730.40/223,766.16
  6. Step 6: Final answer
    x = 175,156.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.