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Finding the Fourth Proportional to 284,110.20, 425,873.70 and 165,720.60

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Solution

The fourth proportional to 284,110.20, 425,873.70 and 165,720.60 is: 248,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,110.20 : 425,873.70 = 165,720.60 : x
  2. Step 2: Convert to fraction form
    284,110.20/425,873.70 = 165,720.60/x
  3. Step 3: Cross multiply
    284,110.20x = 425,873.70 × 165,720.60
  4. Step 4: Simplify right side
    284,110.20x = 70,576,045,088.22
  5. Step 5: Solve for x
    x = 70,576,045,088.22/284,110.20
  6. Step 6: Final answer
    x = 248,410.81

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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.