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Finding the Fourth Proportional to 106,460.24, 146,916.06 and 58,715.24

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Solution

The fourth proportional to 106,460.24, 146,916.06 and 58,715.24 is: 81,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460.24 : 146,916.06 = 58,715.24 : x
  2. Step 2: Convert to fraction form
    106,460.24/146,916.06 = 58,715.24/x
  3. Step 3: Cross multiply
    106,460.24x = 146,916.06 × 58,715.24
  4. Step 4: Simplify right side
    106,460.24x = 8,626,211,722.75
  5. Step 5: Solve for x
    x = 8,626,211,722.75/106,460.24
  6. Step 6: Final answer
    x = 81,027.54

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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.