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Finding the Fourth Proportional to 220,248, 303,942.24 and 119,646

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Solution

The fourth proportional to 220,248, 303,942.24 and 119,646 is: 165,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,248 : 303,942.24 = 119,646 : x
  2. Step 2: Convert to fraction form
    220,248/303,942.24 = 119,646/x
  3. Step 3: Cross multiply
    220,248x = 303,942.24 × 119,646
  4. Step 4: Simplify right side
    220,248x = 36,365,473,247.04
  5. Step 5: Solve for x
    x = 36,365,473,247.04/220,248
  6. Step 6: Final answer
    x = 165,111.48

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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.