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Finding the Fourth Proportional to 264,892.86, 365,559.10 and 144,041.29

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Solution

The fourth proportional to 264,892.86, 365,559.10 and 144,041.29 is: 198,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,892.86 : 365,559.10 = 144,041.29 : x
  2. Step 2: Convert to fraction form
    264,892.86/365,559.10 = 144,041.29/x
  3. Step 3: Cross multiply
    264,892.86x = 365,559.10 × 144,041.29
  4. Step 4: Simplify right side
    264,892.86x = 52,655,603,466.35
  5. Step 5: Solve for x
    x = 52,655,603,466.35/264,892.86
  6. Step 6: Final answer
    x = 198,780.76

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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.