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Finding the Fourth Proportional to 131,403.60, 197,105.40 and 75,416.40

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Solution

The fourth proportional to 131,403.60, 197,105.40 and 75,416.40 is: 113,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403.60 : 197,105.40 = 75,416.40 : x
  2. Step 2: Convert to fraction form
    131,403.60/197,105.40 = 75,416.40/x
  3. Step 3: Cross multiply
    131,403.60x = 197,105.40 × 75,416.40
  4. Step 4: Simplify right side
    131,403.60x = 14,864,979,688.56
  5. Step 5: Solve for x
    x = 14,864,979,688.56/131,403.60
  6. Step 6: Final answer
    x = 113,124.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.