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Finding the Fourth Proportional to 284,177.81, 425,934.56 and 157,757.60

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Solution

The fourth proportional to 284,177.81, 425,934.56 and 157,757.60 is: 236,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,177.81 : 425,934.56 = 157,757.60 : x
  2. Step 2: Convert to fraction form
    284,177.81/425,934.56 = 157,757.60/x
  3. Step 3: Cross multiply
    284,177.81x = 425,934.56 × 157,757.60
  4. Step 4: Simplify right side
    284,177.81x = 67,194,415,401.89
  5. Step 5: Solve for x
    x = 67,194,415,401.89/284,177.81
  6. Step 6: Final answer
    x = 236,452.01

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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.