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Finding the Fourth Proportional to 264,471.83, 364,971.87 and 143,615.14

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Solution

The fourth proportional to 264,471.83, 364,971.87 and 143,615.14 is: 198,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,471.83 : 364,971.87 = 143,615.14 : x
  2. Step 2: Convert to fraction form
    264,471.83/364,971.87 = 143,615.14/x
  3. Step 3: Cross multiply
    264,471.83x = 364,971.87 × 143,615.14
  4. Step 4: Simplify right side
    264,471.83x = 52,415,486,206.11
  5. Step 5: Solve for x
    x = 52,415,486,206.11/264,471.83
  6. Step 6: Final answer
    x = 198,189.30

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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.