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Finding the Fourth Proportional to 283,743.60, 425,399.40 and 143,602.80

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Solution

The fourth proportional to 283,743.60, 425,399.40 and 143,602.80 is: 215,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,743.60 : 425,399.40 = 143,602.80 : x
  2. Step 2: Convert to fraction form
    283,743.60/425,399.40 = 143,602.80/x
  3. Step 3: Cross multiply
    283,743.60x = 425,399.40 × 143,602.80
  4. Step 4: Simplify right side
    283,743.60x = 61,088,544,958.32
  5. Step 5: Solve for x
    x = 61,088,544,958.32/283,743.60
  6. Step 6: Final answer
    x = 215,294.88

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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.