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Finding the Fourth Proportional to 376,741.48, 565,024.62 and 140,195.56

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Solution

The fourth proportional to 376,741.48, 565,024.62 and 140,195.56 is: 210,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,741.48 : 565,024.62 = 140,195.56 : x
  2. Step 2: Convert to fraction form
    376,741.48/565,024.62 = 140,195.56/x
  3. Step 3: Cross multiply
    376,741.48x = 565,024.62 × 140,195.56
  4. Step 4: Simplify right side
    376,741.48x = 79,213,943,014.69
  5. Step 5: Solve for x
    x = 79,213,943,014.69/376,741.48
  6. Step 6: Final answer
    x = 210,260.74

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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.