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Finding the Fourth Proportional to 106,462.16, 146,917.28 and 58,715.52

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Solution

The fourth proportional to 106,462.16, 146,917.28 and 58,715.52 is: 81,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.16 : 146,917.28 = 58,715.52 : x
  2. Step 2: Convert to fraction form
    106,462.16/146,917.28 = 58,715.52/x
  3. Step 3: Cross multiply
    106,462.16x = 146,917.28 × 58,715.52
  4. Step 4: Simplify right side
    106,462.16x = 8,626,324,492.19
  5. Step 5: Solve for x
    x = 8,626,324,492.19/106,462.16
  6. Step 6: Final answer
    x = 81,027.14

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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.