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Finding the Fourth Proportional to 283,561.44, 425,319.84 and 123,633.60

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Solution

The fourth proportional to 283,561.44, 425,319.84 and 123,633.60 is: 185,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,561.44 : 425,319.84 = 123,633.60 : x
  2. Step 2: Convert to fraction form
    283,561.44/425,319.84 = 123,633.60/x
  3. Step 3: Cross multiply
    283,561.44x = 425,319.84 × 123,633.60
  4. Step 4: Simplify right side
    283,561.44x = 52,583,822,970.62
  5. Step 5: Solve for x
    x = 52,583,822,970.62/283,561.44
  6. Step 6: Final answer
    x = 185,440.67

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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.