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Finding the Fourth Proportional to 289,141.62, 433,712.22 and 120,741.24

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Solution

The fourth proportional to 289,141.62, 433,712.22 and 120,741.24 is: 181,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,141.62 : 433,712.22 = 120,741.24 : x
  2. Step 2: Convert to fraction form
    289,141.62/433,712.22 = 120,741.24/x
  3. Step 3: Cross multiply
    289,141.62x = 433,712.22 × 120,741.24
  4. Step 4: Simplify right side
    289,141.62x = 52,366,951,245.95
  5. Step 5: Solve for x
    x = 52,366,951,245.95/289,141.62
  6. Step 6: Final answer
    x = 181,111.77

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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.