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Finding the Fourth Proportional to 105,990.45, 146,234.92 and 63,533.49

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Solution

The fourth proportional to 105,990.45, 146,234.92 and 63,533.49 is: 87,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990.45 : 146,234.92 = 63,533.49 : x
  2. Step 2: Convert to fraction form
    105,990.45/146,234.92 = 63,533.49/x
  3. Step 3: Cross multiply
    105,990.45x = 146,234.92 × 63,533.49
  4. Step 4: Simplify right side
    105,990.45x = 9,290,814,827.47
  5. Step 5: Solve for x
    x = 9,290,814,827.47/105,990.45
  6. Step 6: Final answer
    x = 87,657.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.