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Finding the Fourth Proportional to 220,098.82, 303,056.27 and 171,895.46

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Solution

The fourth proportional to 220,098.82, 303,056.27 and 171,895.46 is: 236,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,098.82 : 303,056.27 = 171,895.46 : x
  2. Step 2: Convert to fraction form
    220,098.82/303,056.27 = 171,895.46/x
  3. Step 3: Cross multiply
    220,098.82x = 303,056.27 × 171,895.46
  4. Step 4: Simplify right side
    220,098.82x = 52,093,996,937.53
  5. Step 5: Solve for x
    x = 52,093,996,937.53/220,098.82
  6. Step 6: Final answer
    x = 236,684.58

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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.