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Finding the Fourth Proportional to 105,820.98, 146,028.14 and 58,073.38

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Solution

The fourth proportional to 105,820.98, 146,028.14 and 58,073.38 is: 80,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,820.98 : 146,028.14 = 58,073.38 : x
  2. Step 2: Convert to fraction form
    105,820.98/146,028.14 = 58,073.38/x
  3. Step 3: Cross multiply
    105,820.98x = 146,028.14 × 58,073.38
  4. Step 4: Simplify right side
    105,820.98x = 8,480,347,664.91
  5. Step 5: Solve for x
    x = 8,480,347,664.91/105,820.98
  6. Step 6: Final answer
    x = 80,138.62

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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.