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Finding the Fourth Proportional to 106,507.53, 146,977.92 and 58,760.86

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Solution

The fourth proportional to 106,507.53, 146,977.92 and 58,760.86 is: 81,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.53 : 146,977.92 = 58,760.86 : x
  2. Step 2: Convert to fraction form
    106,507.53/146,977.92 = 58,760.86/x
  3. Step 3: Cross multiply
    106,507.53x = 146,977.92 × 58,760.86
  4. Step 4: Simplify right side
    106,507.53x = 8,636,548,980.21
  5. Step 5: Solve for x
    x = 8,636,548,980.21/106,507.53
  6. Step 6: Final answer
    x = 81,088.62

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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.