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Finding the Fourth Proportional to 131,408.60, 197,112.90 and 48,291.80

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Solution

The fourth proportional to 131,408.60, 197,112.90 and 48,291.80 is: 72,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408.60 : 197,112.90 = 48,291.80 : x
  2. Step 2: Convert to fraction form
    131,408.60/197,112.90 = 48,291.80/x
  3. Step 3: Cross multiply
    131,408.60x = 197,112.90 × 48,291.80
  4. Step 4: Simplify right side
    131,408.60x = 9,518,936,744.22
  5. Step 5: Solve for x
    x = 9,518,936,744.22/131,408.60
  6. Step 6: Final answer
    x = 72,437.70

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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.