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Finding the Fourth Proportional to 120,805.96, 181,218.12 and 32,057.68

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Solution

The fourth proportional to 120,805.96, 181,218.12 and 32,057.68 is: 48,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.96 : 181,218.12 = 32,057.68 : x
  2. Step 2: Convert to fraction form
    120,805.96/181,218.12 = 32,057.68/x
  3. Step 3: Cross multiply
    120,805.96x = 181,218.12 × 32,057.68
  4. Step 4: Simplify right side
    120,805.96x = 5,809,432,501.16
  5. Step 5: Solve for x
    x = 5,809,432,501.16/120,805.96
  6. Step 6: Final answer
    x = 48,088.96

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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.