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Finding the Fourth Proportional to 264,874.86, 365,534.91 and 144,024.48

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Solution

The fourth proportional to 264,874.86, 365,534.91 and 144,024.48 is: 198,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,874.86 : 365,534.91 = 144,024.48 : x
  2. Step 2: Convert to fraction form
    264,874.86/365,534.91 = 144,024.48/x
  3. Step 3: Cross multiply
    264,874.86x = 365,534.91 × 144,024.48
  4. Step 4: Simplify right side
    264,874.86x = 52,645,975,334.60
  5. Step 5: Solve for x
    x = 52,645,975,334.60/264,874.86
  6. Step 6: Final answer
    x = 198,757.92

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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.