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Finding the Fourth Proportional to 101,467.54, 152,055.73 and 57,000.74

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Solution

The fourth proportional to 101,467.54, 152,055.73 and 57,000.74 is: 85,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,467.54 : 152,055.73 = 57,000.74 : x
  2. Step 2: Convert to fraction form
    101,467.54/152,055.73 = 57,000.74/x
  3. Step 3: Cross multiply
    101,467.54x = 152,055.73 × 57,000.74
  4. Step 4: Simplify right side
    101,467.54x = 8,667,288,869.87
  5. Step 5: Solve for x
    x = 8,667,288,869.87/101,467.54
  6. Step 6: Final answer
    x = 85,419.33

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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.