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Finding the Fourth Proportional to 264,559.18, 365,081.16 and 143,698

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Solution

The fourth proportional to 264,559.18, 365,081.16 and 143,698 is: 198,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,559.18 : 365,081.16 = 143,698 : x
  2. Step 2: Convert to fraction form
    264,559.18/365,081.16 = 143,698/x
  3. Step 3: Cross multiply
    264,559.18x = 365,081.16 × 143,698
  4. Step 4: Simplify right side
    264,559.18x = 52,461,432,529.68
  5. Step 5: Solve for x
    x = 52,461,432,529.68/264,559.18
  6. Step 6: Final answer
    x = 198,297.53

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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.