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Finding the Fourth Proportional to 365,380.31, 548,005.77 and 99,161.53

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Solution

The fourth proportional to 365,380.31, 548,005.77 and 99,161.53 is: 148,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,380.31 : 548,005.77 = 99,161.53 : x
  2. Step 2: Convert to fraction form
    365,380.31/548,005.77 = 99,161.53/x
  3. Step 3: Cross multiply
    365,380.31x = 548,005.77 × 99,161.53
  4. Step 4: Simplify right side
    365,380.31x = 54,341,089,232.01
  5. Step 5: Solve for x
    x = 54,341,089,232.01/365,380.31
  6. Step 6: Final answer
    x = 148,724.73

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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.