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Finding the Fourth Proportional to 221,356.50, 305,472.06 and 125,869.08

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Solution

The fourth proportional to 221,356.50, 305,472.06 and 125,869.08 is: 173,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,356.50 : 305,472.06 = 125,869.08 : x
  2. Step 2: Convert to fraction form
    221,356.50/305,472.06 = 125,869.08/x
  3. Step 3: Cross multiply
    221,356.50x = 305,472.06 × 125,869.08
  4. Step 4: Simplify right side
    221,356.50x = 38,449,487,157.90
  5. Step 5: Solve for x
    x = 38,449,487,157.90/221,356.50
  6. Step 6: Final answer
    x = 173,699.38

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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.