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Finding the Fourth Proportional to 283,309.83, 425,010.90 and 83,650.40

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Solution

The fourth proportional to 283,309.83, 425,010.90 and 83,650.40 is: 125,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,309.83 : 425,010.90 = 83,650.40 : x
  2. Step 2: Convert to fraction form
    283,309.83/425,010.90 = 83,650.40/x
  3. Step 3: Cross multiply
    283,309.83x = 425,010.90 × 83,650.40
  4. Step 4: Simplify right side
    283,309.83x = 35,552,329,664.31
  5. Step 5: Solve for x
    x = 35,552,329,664.31/283,309.83
  6. Step 6: Final answer
    x = 125,489.22

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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.