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Finding the Fourth Proportional to 106,006, 146,285.26 and 58,259.28

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Solution

The fourth proportional to 106,006, 146,285.26 and 58,259.28 is: 80,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006 : 146,285.26 = 58,259.28 : x
  2. Step 2: Convert to fraction form
    106,006/146,285.26 = 58,259.28/x
  3. Step 3: Cross multiply
    106,006x = 146,285.26 × 58,259.28
  4. Step 4: Simplify right side
    106,006x = 8,522,473,922.21
  5. Step 5: Solve for x
    x = 8,522,473,922.21/106,006
  6. Step 6: Final answer
    x = 80,396.15

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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.