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Finding the Fourth Proportional to 106,241.54, 159,362.38 and 101,629.10

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Solution

The fourth proportional to 106,241.54, 159,362.38 and 101,629.10 is: 152,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241.54 : 159,362.38 = 101,629.10 : x
  2. Step 2: Convert to fraction form
    106,241.54/159,362.38 = 101,629.10/x
  3. Step 3: Cross multiply
    106,241.54x = 159,362.38 × 101,629.10
  4. Step 4: Simplify right side
    106,241.54x = 16,195,855,253.26
  5. Step 5: Solve for x
    x = 16,195,855,253.26/106,241.54
  6. Step 6: Final answer
    x = 152,443.72

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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.