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Finding the Fourth Proportional to 179,784.84, 269,771.44 and 67,542.50

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Solution

The fourth proportional to 179,784.84, 269,771.44 and 67,542.50 is: 101,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,784.84 : 269,771.44 = 67,542.50 : x
  2. Step 2: Convert to fraction form
    179,784.84/269,771.44 = 67,542.50/x
  3. Step 3: Cross multiply
    179,784.84x = 269,771.44 × 67,542.50
  4. Step 4: Simplify right side
    179,784.84x = 18,221,037,486.20
  5. Step 5: Solve for x
    x = 18,221,037,486.20/179,784.84
  6. Step 6: Final answer
    x = 101,349.13

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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.