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Finding the Fourth Proportional to 283,247.55, 424,871.34 and 105,768.42

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Solution

The fourth proportional to 283,247.55, 424,871.34 and 105,768.42 is: 158,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,247.55 : 424,871.34 = 105,768.42 : x
  2. Step 2: Convert to fraction form
    283,247.55/424,871.34 = 105,768.42/x
  3. Step 3: Cross multiply
    283,247.55x = 424,871.34 × 105,768.42
  4. Step 4: Simplify right side
    283,247.55x = 44,937,970,335.08
  5. Step 5: Solve for x
    x = 44,937,970,335.08/283,247.55
  6. Step 6: Final answer
    x = 158,652.64

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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.