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Finding the Fourth Proportional to 274,102.02, 411,049.35 and 116,404.74

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Solution

The fourth proportional to 274,102.02, 411,049.35 and 116,404.74 is: 174,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,102.02 : 411,049.35 = 116,404.74 : x
  2. Step 2: Convert to fraction form
    274,102.02/411,049.35 = 116,404.74/x
  3. Step 3: Cross multiply
    274,102.02x = 411,049.35 × 116,404.74
  4. Step 4: Simplify right side
    274,102.02x = 47,848,092,713.92
  5. Step 5: Solve for x
    x = 47,848,092,713.92/274,102.02
  6. Step 6: Final answer
    x = 174,563.08

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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.