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Finding the Fourth Proportional to 283,865.72, 425,823.18 and 104,000

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Solution

The fourth proportional to 283,865.72, 425,823.18 and 104,000 is: 156,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,865.72 : 425,823.18 = 104,000 : x
  2. Step 2: Convert to fraction form
    283,865.72/425,823.18 = 104,000/x
  3. Step 3: Cross multiply
    283,865.72x = 425,823.18 × 104,000
  4. Step 4: Simplify right side
    283,865.72x = 44,285,610,720
  5. Step 5: Solve for x
    x = 44,285,610,720/283,865.72
  6. Step 6: Final answer
    x = 156,009.01

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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.