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Finding the Fourth Proportional to 189,553.95, 284,414.01 and 99,575.82

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Solution

The fourth proportional to 189,553.95, 284,414.01 and 99,575.82 is: 149,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,553.95 : 284,414.01 = 99,575.82 : x
  2. Step 2: Convert to fraction form
    189,553.95/284,414.01 = 99,575.82/x
  3. Step 3: Cross multiply
    189,553.95x = 284,414.01 × 99,575.82
  4. Step 4: Simplify right side
    189,553.95x = 28,320,758,265.24
  5. Step 5: Solve for x
    x = 28,320,758,265.24/189,553.95
  6. Step 6: Final answer
    x = 149,407.38

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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.