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Finding the Fourth Proportional to 154,586.70, 231,880.05 and 75,854.70

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Solution

The fourth proportional to 154,586.70, 231,880.05 and 75,854.70 is: 113,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,586.70 : 231,880.05 = 75,854.70 : x
  2. Step 2: Convert to fraction form
    154,586.70/231,880.05 = 75,854.70/x
  3. Step 3: Cross multiply
    154,586.70x = 231,880.05 × 75,854.70
  4. Step 4: Simplify right side
    154,586.70x = 17,589,191,628.74
  5. Step 5: Solve for x
    x = 17,589,191,628.74/154,586.70
  6. Step 6: Final answer
    x = 113,782.05

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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.