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Finding the Fourth Proportional to 254,223.95, 381,186.42 and 96,463.49

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Solution

The fourth proportional to 254,223.95, 381,186.42 and 96,463.49 is: 144,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,223.95 : 381,186.42 = 96,463.49 : x
  2. Step 2: Convert to fraction form
    254,223.95/381,186.42 = 96,463.49/x
  3. Step 3: Cross multiply
    254,223.95x = 381,186.42 × 96,463.49
  4. Step 4: Simplify right side
    254,223.95x = 36,770,573,005.03
  5. Step 5: Solve for x
    x = 36,770,573,005.03/254,223.95
  6. Step 6: Final answer
    x = 144,638.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.