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Finding the Fourth Proportional to 106,241, 146,612.58 and 59,137

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Solution

The fourth proportional to 106,241, 146,612.58 and 59,137 is: 81,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241 : 146,612.58 = 59,137 : x
  2. Step 2: Convert to fraction form
    106,241/146,612.58 = 59,137/x
  3. Step 3: Cross multiply
    106,241x = 146,612.58 × 59,137
  4. Step 4: Simplify right side
    106,241x = 8,670,228,143.46
  5. Step 5: Solve for x
    x = 8,670,228,143.46/106,241
  6. Step 6: Final answer
    x = 81,609.06

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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.