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Finding the Fourth Proportional to 208,058.60, 312,087.90 and 194,936.60

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Solution

The fourth proportional to 208,058.60, 312,087.90 and 194,936.60 is: 292,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.60 : 312,087.90 = 194,936.60 : x
  2. Step 2: Convert to fraction form
    208,058.60/312,087.90 = 194,936.60/x
  3. Step 3: Cross multiply
    208,058.60x = 312,087.90 × 194,936.60
  4. Step 4: Simplify right side
    208,058.60x = 60,837,354,127.14
  5. Step 5: Solve for x
    x = 60,837,354,127.14/208,058.60
  6. Step 6: Final answer
    x = 292,404.90

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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.