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Finding the Fourth Proportional to 106,222, 146,596.12 and 58,485.04

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Solution

The fourth proportional to 106,222, 146,596.12 and 58,485.04 is: 80,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,222 : 146,596.12 = 58,485.04 : x
  2. Step 2: Convert to fraction form
    106,222/146,596.12 = 58,485.04/x
  3. Step 3: Cross multiply
    106,222x = 146,596.12 × 58,485.04
  4. Step 4: Simplify right side
    106,222x = 8,573,679,942.04
  5. Step 5: Solve for x
    x = 8,573,679,942.04/106,222
  6. Step 6: Final answer
    x = 80,714.73

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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.