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Finding the Fourth Proportional to 106,415.17, 146,849.91 and 58,668.55

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Solution

The fourth proportional to 106,415.17, 146,849.91 and 58,668.55 is: 80,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.17 : 146,849.91 = 58,668.55 : x
  2. Step 2: Convert to fraction form
    106,415.17/146,849.91 = 58,668.55/x
  3. Step 3: Cross multiply
    106,415.17x = 146,849.91 × 58,668.55
  4. Step 4: Simplify right side
    106,415.17x = 8,615,471,856.24
  5. Step 5: Solve for x
    x = 8,615,471,856.24/106,415.17
  6. Step 6: Final answer
    x = 80,960.94

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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.