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Finding the Fourth Proportional to 284,149.06, 425,997.25 and 164,069.84

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Solution

The fourth proportional to 284,149.06, 425,997.25 and 164,069.84 is: 245,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.06 : 425,997.25 = 164,069.84 : x
  2. Step 2: Convert to fraction form
    284,149.06/425,997.25 = 164,069.84/x
  3. Step 3: Cross multiply
    284,149.06x = 425,997.25 × 164,069.84
  4. Step 4: Simplify right side
    284,149.06x = 69,893,301,302.76
  5. Step 5: Solve for x
    x = 69,893,301,302.76/284,149.06
  6. Step 6: Final answer
    x = 245,974.07

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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.