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Finding the Fourth Proportional to 120,703.62, 181,057.72 and 41,820.42

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Solution

The fourth proportional to 120,703.62, 181,057.72 and 41,820.42 is: 62,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,703.62 : 181,057.72 = 41,820.42 : x
  2. Step 2: Convert to fraction form
    120,703.62/181,057.72 = 41,820.42/x
  3. Step 3: Cross multiply
    120,703.62x = 181,057.72 × 41,820.42
  4. Step 4: Simplify right side
    120,703.62x = 7,571,909,894.64
  5. Step 5: Solve for x
    x = 7,571,909,894.64/120,703.62
  6. Step 6: Final answer
    x = 62,731.42

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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.