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Finding the Fourth Proportional to 264,273.86, 364,698.16 and 143,415.15

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Solution

The fourth proportional to 264,273.86, 364,698.16 and 143,415.15 is: 197,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,273.86 : 364,698.16 = 143,415.15 : x
  2. Step 2: Convert to fraction form
    264,273.86/364,698.16 = 143,415.15/x
  3. Step 3: Cross multiply
    264,273.86x = 364,698.16 × 143,415.15
  4. Step 4: Simplify right side
    264,273.86x = 52,303,239,497.63
  5. Step 5: Solve for x
    x = 52,303,239,497.63/264,273.86
  6. Step 6: Final answer
    x = 197,913.03

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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.