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Finding the Fourth Proportional to 254,395.89, 381,593.83 and 96,623.95

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Solution

The fourth proportional to 254,395.89, 381,593.83 and 96,623.95 is: 144,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,395.89 : 381,593.83 = 96,623.95 : x
  2. Step 2: Convert to fraction form
    254,395.89/381,593.83 = 96,623.95/x
  3. Step 3: Cross multiply
    254,395.89x = 381,593.83 × 96,623.95
  4. Step 4: Simplify right side
    254,395.89x = 36,871,102,908.67
  5. Step 5: Solve for x
    x = 36,871,102,908.67/254,395.89
  6. Step 6: Final answer
    x = 144,935.93

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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.