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Finding the Fourth Proportional to 264,901.86, 365,571.54 and 144,050.31

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Solution

The fourth proportional to 264,901.86, 365,571.54 and 144,050.31 is: 198,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,901.86 : 365,571.54 = 144,050.31 : x
  2. Step 2: Convert to fraction form
    264,901.86/365,571.54 = 144,050.31/x
  3. Step 3: Cross multiply
    264,901.86x = 365,571.54 × 144,050.31
  4. Step 4: Simplify right side
    264,901.86x = 52,660,693,664.18
  5. Step 5: Solve for x
    x = 52,660,693,664.18/264,901.86
  6. Step 6: Final answer
    x = 198,793.22

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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.