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Finding the Fourth Proportional to 283,541.69, 425,320.74 and 106,014.80

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Solution

The fourth proportional to 283,541.69, 425,320.74 and 106,014.80 is: 159,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,541.69 : 425,320.74 = 106,014.80 : x
  2. Step 2: Convert to fraction form
    283,541.69/425,320.74 = 106,014.80/x
  3. Step 3: Cross multiply
    283,541.69x = 425,320.74 × 106,014.80
  4. Step 4: Simplify right side
    283,541.69x = 45,090,294,250.25
  5. Step 5: Solve for x
    x = 45,090,294,250.25/283,541.69
  6. Step 6: Final answer
    x = 159,025.27

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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.