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Finding the Fourth Proportional to 115,837.71, 159,773.61 and 106,308.38

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Solution

The fourth proportional to 115,837.71, 159,773.61 and 106,308.38 is: 146,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,837.71 : 159,773.61 = 106,308.38 : x
  2. Step 2: Convert to fraction form
    115,837.71/159,773.61 = 106,308.38/x
  3. Step 3: Cross multiply
    115,837.71x = 159,773.61 × 106,308.38
  4. Step 4: Simplify right side
    115,837.71x = 16,985,272,846.98
  5. Step 5: Solve for x
    x = 16,985,272,846.98/115,837.71
  6. Step 6: Final answer
    x = 146,629.91

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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.