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Finding the Fourth Proportional to 189,950.88, 284,674.64 and 101,012.88

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Solution

The fourth proportional to 189,950.88, 284,674.64 and 101,012.88 is: 151,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,950.88 : 284,674.64 = 101,012.88 : x
  2. Step 2: Convert to fraction form
    189,950.88/284,674.64 = 101,012.88/x
  3. Step 3: Cross multiply
    189,950.88x = 284,674.64 × 101,012.88
  4. Step 4: Simplify right side
    189,950.88x = 28,755,805,249.36
  5. Step 5: Solve for x
    x = 28,755,805,249.36/189,950.88
  6. Step 6: Final answer
    x = 151,385.48

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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.