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Finding the Fourth Proportional to 199,199.95, 274,887.93 and 108,553.98

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Solution

The fourth proportional to 199,199.95, 274,887.93 and 108,553.98 is: 149,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,199.95 : 274,887.93 = 108,553.98 : x
  2. Step 2: Convert to fraction form
    199,199.95/274,887.93 = 108,553.98/x
  3. Step 3: Cross multiply
    199,199.95x = 274,887.93 × 108,553.98
  4. Step 4: Simplify right side
    199,199.95x = 29,840,178,855.46
  5. Step 5: Solve for x
    x = 29,840,178,855.46/199,199.95
  6. Step 6: Final answer
    x = 149,800.13

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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.