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Finding the Fourth Proportional to 189,752.92, 284,678.67 and 56,633.17

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Solution

The fourth proportional to 189,752.92, 284,678.67 and 56,633.17 is: 84,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,752.92 : 284,678.67 = 56,633.17 : x
  2. Step 2: Convert to fraction form
    189,752.92/284,678.67 = 56,633.17/x
  3. Step 3: Cross multiply
    189,752.92x = 284,678.67 × 56,633.17
  4. Step 4: Simplify right side
    189,752.92x = 16,122,255,513.48
  5. Step 5: Solve for x
    x = 16,122,255,513.48/189,752.92
  6. Step 6: Final answer
    x = 84,964.47

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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.