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Finding the Fourth Proportional to 120,837, 181,294.02 and 50,697.48

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Solution

The fourth proportional to 120,837, 181,294.02 and 50,697.48 is: 76,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,837 : 181,294.02 = 50,697.48 : x
  2. Step 2: Convert to fraction form
    120,837/181,294.02 = 50,697.48/x
  3. Step 3: Cross multiply
    120,837x = 181,294.02 × 50,697.48
  4. Step 4: Simplify right side
    120,837x = 9,191,149,953.07
  5. Step 5: Solve for x
    x = 9,191,149,953.07/120,837
  6. Step 6: Final answer
    x = 76,062.38

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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.