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Finding the Fourth Proportional to 264,334.36, 364,781.80 and 143,475.74

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Solution

The fourth proportional to 264,334.36, 364,781.80 and 143,475.74 is: 197,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,334.36 : 364,781.80 = 143,475.74 : x
  2. Step 2: Convert to fraction form
    264,334.36/364,781.80 = 143,475.74/x
  3. Step 3: Cross multiply
    264,334.36x = 364,781.80 × 143,475.74
  4. Step 4: Simplify right side
    264,334.36x = 52,337,338,693.53
  5. Step 5: Solve for x
    x = 52,337,338,693.53/264,334.36
  6. Step 6: Final answer
    x = 197,996.73

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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.