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Finding the Fourth Proportional to 106,035.56, 146,329.38 and 60,714.24

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Solution

The fourth proportional to 106,035.56, 146,329.38 and 60,714.24 is: 83,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,035.56 : 146,329.38 = 60,714.24 : x
  2. Step 2: Convert to fraction form
    106,035.56/146,329.38 = 60,714.24/x
  3. Step 3: Cross multiply
    106,035.56x = 146,329.38 × 60,714.24
  4. Step 4: Simplify right side
    106,035.56x = 8,884,277,096.37
  5. Step 5: Solve for x
    x = 8,884,277,096.37/106,035.56
  6. Step 6: Final answer
    x = 83,785.83

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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.