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Finding the Fourth Proportional to 264,345.75, 364,797.42 and 143,487.02

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Solution

The fourth proportional to 264,345.75, 364,797.42 and 143,487.02 is: 198,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,345.75 : 364,797.42 = 143,487.02 : x
  2. Step 2: Convert to fraction form
    264,345.75/364,797.42 = 143,487.02/x
  3. Step 3: Cross multiply
    264,345.75x = 364,797.42 × 143,487.02
  4. Step 4: Simplify right side
    264,345.75x = 52,343,694,699.49
  5. Step 5: Solve for x
    x = 52,343,694,699.49/264,345.75
  6. Step 6: Final answer
    x = 198,012.24

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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.