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Finding the Fourth Proportional to 101,945, 140,690.34 and 57,233

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Solution

The fourth proportional to 101,945, 140,690.34 and 57,233 is: 78,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,945 : 140,690.34 = 57,233 : x
  2. Step 2: Convert to fraction form
    101,945/140,690.34 = 57,233/x
  3. Step 3: Cross multiply
    101,945x = 140,690.34 × 57,233
  4. Step 4: Simplify right side
    101,945x = 8,052,130,229.22
  5. Step 5: Solve for x
    x = 8,052,130,229.22/101,945
  6. Step 6: Final answer
    x = 78,985.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.