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Finding the Fourth Proportional to 283,505.82, 425,522.25 and 143,365.02

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Solution

The fourth proportional to 283,505.82, 425,522.25 and 143,365.02 is: 215,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,505.82 : 425,522.25 = 143,365.02 : x
  2. Step 2: Convert to fraction form
    283,505.82/425,522.25 = 143,365.02/x
  3. Step 3: Cross multiply
    283,505.82x = 425,522.25 × 143,365.02
  4. Step 4: Simplify right side
    283,505.82x = 61,005,005,881.70
  5. Step 5: Solve for x
    x = 61,005,005,881.70/283,505.82
  6. Step 6: Final answer
    x = 215,180.79

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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.