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Finding the Fourth Proportional to 175,311.60, 262,823.40 and 75,548.40

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Solution

The fourth proportional to 175,311.60, 262,823.40 and 75,548.40 is: 113,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311.60 : 262,823.40 = 75,548.40 : x
  2. Step 2: Convert to fraction form
    175,311.60/262,823.40 = 75,548.40/x
  3. Step 3: Cross multiply
    175,311.60x = 262,823.40 × 75,548.40
  4. Step 4: Simplify right side
    175,311.60x = 19,855,887,352.56
  5. Step 5: Solve for x
    x = 19,855,887,352.56/175,311.60
  6. Step 6: Final answer
    x = 113,260.54

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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.