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Finding the Fourth Proportional to 283,597.49, 425,464.13 and 81,196.41

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Solution

The fourth proportional to 283,597.49, 425,464.13 and 81,196.41 is: 121,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,597.49 : 425,464.13 = 81,196.41 : x
  2. Step 2: Convert to fraction form
    283,597.49/425,464.13 = 81,196.41/x
  3. Step 3: Cross multiply
    283,597.49x = 425,464.13 × 81,196.41
  4. Step 4: Simplify right side
    283,597.49x = 34,546,159,939.77
  5. Step 5: Solve for x
    x = 34,546,159,939.77/283,597.49
  6. Step 6: Final answer
    x = 121,814.05

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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.