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Finding the Fourth Proportional to 106,041.39, 158,715.92 and 77,954.01

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Solution

The fourth proportional to 106,041.39, 158,715.92 and 77,954.01 is: 116,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,041.39 : 158,715.92 = 77,954.01 : x
  2. Step 2: Convert to fraction form
    106,041.39/158,715.92 = 77,954.01/x
  3. Step 3: Cross multiply
    106,041.39x = 158,715.92 × 77,954.01
  4. Step 4: Simplify right side
    106,041.39x = 12,372,542,025.07
  5. Step 5: Solve for x
    x = 12,372,542,025.07/106,041.39
  6. Step 6: Final answer
    x = 116,676.54

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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.