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Finding the Fourth Proportional to 189,937.83, 284,921.73 and 63,578.82

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Solution

The fourth proportional to 189,937.83, 284,921.73 and 63,578.82 is: 95,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,937.83 : 284,921.73 = 63,578.82 : x
  2. Step 2: Convert to fraction form
    189,937.83/284,921.73 = 63,578.82/x
  3. Step 3: Cross multiply
    189,937.83x = 284,921.73 × 63,578.82
  4. Step 4: Simplify right side
    189,937.83x = 18,114,987,385.76
  5. Step 5: Solve for x
    x = 18,114,987,385.76/189,937.83
  6. Step 6: Final answer
    x = 95,373.25

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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.