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Finding the Fourth Proportional to 105,904.36, 146,174.46 and 65,593.96

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Solution

The fourth proportional to 105,904.36, 146,174.46 and 65,593.96 is: 90,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,904.36 : 146,174.46 = 65,593.96 : x
  2. Step 2: Convert to fraction form
    105,904.36/146,174.46 = 65,593.96/x
  3. Step 3: Cross multiply
    105,904.36x = 146,174.46 × 65,593.96
  4. Step 4: Simplify right side
    105,904.36x = 9,588,161,682.26
  5. Step 5: Solve for x
    x = 9,588,161,682.26/105,904.36
  6. Step 6: Final answer
    x = 90,536.04

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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.