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Finding the Fourth Proportional to 106,501.43, 146,972.48 and 58,754.77

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Solution

The fourth proportional to 106,501.43, 146,972.48 and 58,754.77 is: 81,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.43 : 146,972.48 = 58,754.77 : x
  2. Step 2: Convert to fraction form
    106,501.43/146,972.48 = 58,754.77/x
  3. Step 3: Cross multiply
    106,501.43x = 146,972.48 × 58,754.77
  4. Step 4: Simplify right side
    106,501.43x = 8,635,333,597.52
  5. Step 5: Solve for x
    x = 8,635,333,597.52/106,501.43
  6. Step 6: Final answer
    x = 81,081.85

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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.