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Finding the Fourth Proportional to 120,570.47, 180,560.42 and 84,944.24

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Solution

The fourth proportional to 120,570.47, 180,560.42 and 84,944.24 is: 127,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,570.47 : 180,560.42 = 84,944.24 : x
  2. Step 2: Convert to fraction form
    120,570.47/180,560.42 = 84,944.24/x
  3. Step 3: Cross multiply
    120,570.47x = 180,560.42 × 84,944.24
  4. Step 4: Simplify right side
    120,570.47x = 15,337,567,650.98
  5. Step 5: Solve for x
    x = 15,337,567,650.98/120,570.47
  6. Step 6: Final answer
    x = 127,208.33

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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.