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Finding the Fourth Proportional to 283,313.72, 425,016.75 and 83,654.29

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Solution

The fourth proportional to 283,313.72, 425,016.75 and 83,654.29 is: 125,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,313.72 : 425,016.75 = 83,654.29 : x
  2. Step 2: Convert to fraction form
    283,313.72/425,016.75 = 83,654.29/x
  3. Step 3: Cross multiply
    283,313.72x = 425,016.75 × 83,654.29
  4. Step 4: Simplify right side
    283,313.72x = 35,554,475,304.33
  5. Step 5: Solve for x
    x = 35,554,475,304.33/283,313.72
  6. Step 6: Final answer
    x = 125,495.07

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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.