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Finding the Fourth Proportional to 264,765.16, 365,378.16 and 143,906.46

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Solution

The fourth proportional to 264,765.16, 365,378.16 and 143,906.46 is: 198,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,765.16 : 365,378.16 = 143,906.46 : x
  2. Step 2: Convert to fraction form
    264,765.16/365,378.16 = 143,906.46/x
  3. Step 3: Cross multiply
    264,765.16x = 365,378.16 × 143,906.46
  4. Step 4: Simplify right side
    264,765.16x = 52,580,277,566.91
  5. Step 5: Solve for x
    x = 52,580,277,566.91/264,765.16
  6. Step 6: Final answer
    x = 198,592.13

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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.