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Finding the Fourth Proportional to 137,098.40, 205,647.60 and 131,849.60

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Solution

The fourth proportional to 137,098.40, 205,647.60 and 131,849.60 is: 197,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.40 : 205,647.60 = 131,849.60 : x
  2. Step 2: Convert to fraction form
    137,098.40/205,647.60 = 131,849.60/x
  3. Step 3: Cross multiply
    137,098.40x = 205,647.60 × 131,849.60
  4. Step 4: Simplify right side
    137,098.40x = 27,114,553,800.96
  5. Step 5: Solve for x
    x = 27,114,553,800.96/137,098.40
  6. Step 6: Final answer
    x = 197,774.40

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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.