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Finding the Fourth Proportional to 106,039.64, 158,713.29 and 77,952.26

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Solution

The fourth proportional to 106,039.64, 158,713.29 and 77,952.26 is: 116,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.64 : 158,713.29 = 77,952.26 : x
  2. Step 2: Convert to fraction form
    106,039.64/158,713.29 = 77,952.26/x
  3. Step 3: Cross multiply
    106,039.64x = 158,713.29 × 77,952.26
  4. Step 4: Simplify right side
    106,039.64x = 12,372,059,647.54
  5. Step 5: Solve for x
    x = 12,372,059,647.54/106,039.64
  6. Step 6: Final answer
    x = 116,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.