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Finding the Fourth Proportional to 137,174.21, 205,820.33 and 52,993.63

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Solution

The fourth proportional to 137,174.21, 205,820.33 and 52,993.63 is: 79,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,174.21 : 205,820.33 = 52,993.63 : x
  2. Step 2: Convert to fraction form
    137,174.21/205,820.33 = 52,993.63/x
  3. Step 3: Cross multiply
    137,174.21x = 205,820.33 × 52,993.63
  4. Step 4: Simplify right side
    137,174.21x = 10,907,166,414.50
  5. Step 5: Solve for x
    x = 10,907,166,414.50/137,174.21
  6. Step 6: Final answer
    x = 79,513.24

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1.5x scale

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.