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Finding the Fourth Proportional to 146,695.92, 220,189.68 and 67,827.84

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Solution

The fourth proportional to 146,695.92, 220,189.68 and 67,827.84 is: 101,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,695.92 : 220,189.68 = 67,827.84 : x
  2. Step 2: Convert to fraction form
    146,695.92/220,189.68 = 67,827.84/x
  3. Step 3: Cross multiply
    146,695.92x = 220,189.68 × 67,827.84
  4. Step 4: Simplify right side
    146,695.92x = 14,934,990,384.69
  5. Step 5: Solve for x
    x = 14,934,990,384.69/146,695.92
  6. Step 6: Final answer
    x = 101,809.17

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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.