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Finding the Fourth Proportional to 100,494.41, 150,544.53 and 58,285.80

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Solution

The fourth proportional to 100,494.41, 150,544.53 and 58,285.80 is: 87,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.41 : 150,544.53 = 58,285.80 : x
  2. Step 2: Convert to fraction form
    100,494.41/150,544.53 = 58,285.80/x
  3. Step 3: Cross multiply
    100,494.41x = 150,544.53 × 58,285.80
  4. Step 4: Simplify right side
    100,494.41x = 8,774,608,366.67
  5. Step 5: Solve for x
    x = 8,774,608,366.67/100,494.41
  6. Step 6: Final answer
    x = 87,314.40

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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.