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Finding the Fourth Proportional to 75,846.40, 113,769.60 and 67,098.40

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Solution

The fourth proportional to 75,846.40, 113,769.60 and 67,098.40 is: 100,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.40 : 113,769.60 = 67,098.40 : x
  2. Step 2: Convert to fraction form
    75,846.40/113,769.60 = 67,098.40/x
  3. Step 3: Cross multiply
    75,846.40x = 113,769.60 × 67,098.40
  4. Step 4: Simplify right side
    75,846.40x = 7,633,758,128.64
  5. Step 5: Solve for x
    x = 7,633,758,128.64/75,846.40
  6. Step 6: Final answer
    x = 100,647.60

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1.5x scale

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.