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Finding the Fourth Proportional to 101,464.94, 152,222.16 and 71,537.60

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Solution

The fourth proportional to 101,464.94, 152,222.16 and 71,537.60 is: 107,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,464.94 : 152,222.16 = 71,537.60 : x
  2. Step 2: Convert to fraction form
    101,464.94/152,222.16 = 71,537.60/x
  3. Step 3: Cross multiply
    101,464.94x = 152,222.16 × 71,537.60
  4. Step 4: Simplify right side
    101,464.94x = 10,889,607,993.22
  5. Step 5: Solve for x
    x = 10,889,607,993.22/101,464.94
  6. Step 6: Final answer
    x = 107,323.85

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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.