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Finding the Fourth Proportional to 220,195.84, 303,996.16 and 144,963.04

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Solution

The fourth proportional to 220,195.84, 303,996.16 and 144,963.04 is: 200,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,195.84 : 303,996.16 = 144,963.04 : x
  2. Step 2: Convert to fraction form
    220,195.84/303,996.16 = 144,963.04/x
  3. Step 3: Cross multiply
    220,195.84x = 303,996.16 × 144,963.04
  4. Step 4: Simplify right side
    220,195.84x = 44,068,207,501.93
  5. Step 5: Solve for x
    x = 44,068,207,501.93/220,195.84
  6. Step 6: Final answer
    x = 200,131.88

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1.5x scale

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.