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Finding the Fourth Proportional to 283,678.56, 425,528.64 and 106,166.88

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Solution

The fourth proportional to 283,678.56, 425,528.64 and 106,166.88 is: 159,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,678.56 : 425,528.64 = 106,166.88 : x
  2. Step 2: Convert to fraction form
    283,678.56/425,528.64 = 106,166.88/x
  3. Step 3: Cross multiply
    283,678.56x = 425,528.64 × 106,166.88
  4. Step 4: Simplify right side
    283,678.56x = 45,177,048,059.44
  5. Step 5: Solve for x
    x = 45,177,048,059.44/283,678.56
  6. Step 6: Final answer
    x = 159,254.36

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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.