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Finding the Fourth Proportional to 106,507.32, 146,979.76 and 58,765.92

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Solution

The fourth proportional to 106,507.32, 146,979.76 and 58,765.92 is: 81,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.32 : 146,979.76 = 58,765.92 : x
  2. Step 2: Convert to fraction form
    106,507.32/146,979.76 = 58,765.92/x
  3. Step 3: Cross multiply
    106,507.32x = 146,979.76 × 58,765.92
  4. Step 4: Simplify right side
    106,507.32x = 8,637,400,817.78
  5. Step 5: Solve for x
    x = 8,637,400,817.78/106,507.32
  6. Step 6: Final answer
    x = 81,096.78

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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.