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Finding the Fourth Proportional to 106,505.81, 146,978.51 and 58,759.14

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Solution

The fourth proportional to 106,505.81, 146,978.51 and 58,759.14 is: 81,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505.81 : 146,978.51 = 58,759.14 : x
  2. Step 2: Convert to fraction form
    106,505.81/146,978.51 = 58,759.14/x
  3. Step 3: Cross multiply
    106,505.81x = 146,978.51 × 58,759.14
  4. Step 4: Simplify right side
    106,505.81x = 8,636,330,846.08
  5. Step 5: Solve for x
    x = 8,636,330,846.08/106,505.81
  6. Step 6: Final answer
    x = 81,087.88

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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.