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Finding the Fourth Proportional to 283,824.84, 425,708.10 and 94,297.80

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Solution

The fourth proportional to 283,824.84, 425,708.10 and 94,297.80 is: 141,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,824.84 : 425,708.10 = 94,297.80 : x
  2. Step 2: Convert to fraction form
    283,824.84/425,708.10 = 94,297.80/x
  3. Step 3: Cross multiply
    283,824.84x = 425,708.10 × 94,297.80
  4. Step 4: Simplify right side
    283,824.84x = 40,143,337,272.18
  5. Step 5: Solve for x
    x = 40,143,337,272.18/283,824.84
  6. Step 6: Final answer
    x = 141,437.01

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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.