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Finding the Fourth Proportional to 106,519.36, 158,969 and 94,709.92

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Solution

The fourth proportional to 106,519.36, 158,969 and 94,709.92 is: 141,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,519.36 : 158,969 = 94,709.92 : x
  2. Step 2: Convert to fraction form
    106,519.36/158,969 = 94,709.92/x
  3. Step 3: Cross multiply
    106,519.36x = 158,969 × 94,709.92
  4. Step 4: Simplify right side
    106,519.36x = 15,055,941,272.48
  5. Step 5: Solve for x
    x = 15,055,941,272.48/106,519.36
  6. Step 6: Final answer
    x = 141,344.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.