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Finding the Fourth Proportional to 220,125, 303,772.53 and 119,523

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Solution

The fourth proportional to 220,125, 303,772.53 and 119,523 is: 164,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,125 : 303,772.53 = 119,523 : x
  2. Step 2: Convert to fraction form
    220,125/303,772.53 = 119,523/x
  3. Step 3: Cross multiply
    220,125x = 303,772.53 × 119,523
  4. Step 4: Simplify right side
    220,125x = 36,307,804,103.19
  5. Step 5: Solve for x
    x = 36,307,804,103.19/220,125
  6. Step 6: Final answer
    x = 164,941.76

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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.