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Finding the Fourth Proportional to 283,893.60, 425,715.76 and 106,276.05

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Solution

The fourth proportional to 283,893.60, 425,715.76 and 106,276.05 is: 159,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,893.60 : 425,715.76 = 106,276.05 : x
  2. Step 2: Convert to fraction form
    283,893.60/425,715.76 = 106,276.05/x
  3. Step 3: Cross multiply
    283,893.60x = 425,715.76 × 106,276.05
  4. Step 4: Simplify right side
    283,893.60x = 45,243,389,677.84
  5. Step 5: Solve for x
    x = 45,243,389,677.84/283,893.60
  6. Step 6: Final answer
    x = 159,367.42

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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.