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Finding the Fourth Proportional to 100,835.74, 151,195.32 and 60,349.60

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Solution

The fourth proportional to 100,835.74, 151,195.32 and 60,349.60 is: 90,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,835.74 : 151,195.32 = 60,349.60 : x
  2. Step 2: Convert to fraction form
    100,835.74/151,195.32 = 60,349.60/x
  3. Step 3: Cross multiply
    100,835.74x = 151,195.32 × 60,349.60
  4. Step 4: Simplify right side
    100,835.74x = 9,124,577,083.87
  5. Step 5: Solve for x
    x = 9,124,577,083.87/100,835.74
  6. Step 6: Final answer
    x = 90,489.51

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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.