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Finding the Fourth Proportional to 135,491.35, 186,967.09 and 75,064.54

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Solution

The fourth proportional to 135,491.35, 186,967.09 and 75,064.54 is: 103,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,491.35 : 186,967.09 = 75,064.54 : x
  2. Step 2: Convert to fraction form
    135,491.35/186,967.09 = 75,064.54/x
  3. Step 3: Cross multiply
    135,491.35x = 186,967.09 × 75,064.54
  4. Step 4: Simplify right side
    135,491.35x = 14,034,598,230.67
  5. Step 5: Solve for x
    x = 14,034,598,230.67/135,491.35
  6. Step 6: Final answer
    x = 103,582.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.