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Finding the Fourth Proportional to 283,823.84, 425,706.60 and 94,296.80

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Solution

The fourth proportional to 283,823.84, 425,706.60 and 94,296.80 is: 141,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,823.84 : 425,706.60 = 94,296.80 : x
  2. Step 2: Convert to fraction form
    283,823.84/425,706.60 = 94,296.80/x
  3. Step 3: Cross multiply
    283,823.84x = 425,706.60 × 94,296.80
  4. Step 4: Simplify right side
    283,823.84x = 40,142,770,118.88
  5. Step 5: Solve for x
    x = 40,142,770,118.88/283,823.84
  6. Step 6: Final answer
    x = 141,435.51

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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.