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Finding the Fourth Proportional to 120,771.44, 181,346.76 and 102,293.76

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Solution

The fourth proportional to 120,771.44, 181,346.76 and 102,293.76 is: 153,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771.44 : 181,346.76 = 102,293.76 : x
  2. Step 2: Convert to fraction form
    120,771.44/181,346.76 = 102,293.76/x
  3. Step 3: Cross multiply
    120,771.44x = 181,346.76 × 102,293.76
  4. Step 4: Simplify right side
    120,771.44x = 18,550,641,944.22
  5. Step 5: Solve for x
    x = 18,550,641,944.22/120,771.44
  6. Step 6: Final answer
    x = 153,601.23

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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.