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Finding the Fourth Proportional to 106,247, 146,620.86 and 59,143

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Solution

The fourth proportional to 106,247, 146,620.86 and 59,143 is: 81,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,247 : 146,620.86 = 59,143 : x
  2. Step 2: Convert to fraction form
    106,247/146,620.86 = 59,143/x
  3. Step 3: Cross multiply
    106,247x = 146,620.86 × 59,143
  4. Step 4: Simplify right side
    106,247x = 8,671,597,522.98
  5. Step 5: Solve for x
    x = 8,671,597,522.98/106,247
  6. Step 6: Final answer
    x = 81,617.34

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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.