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Finding the Fourth Proportional to 264,367.08, 364,829.22 and 143,509.32

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Solution

The fourth proportional to 264,367.08, 364,829.22 and 143,509.32 is: 198,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,367.08 : 364,829.22 = 143,509.32 : x
  2. Step 2: Convert to fraction form
    264,367.08/364,829.22 = 143,509.32/x
  3. Step 3: Cross multiply
    264,367.08x = 364,829.22 × 143,509.32
  4. Step 4: Simplify right side
    264,367.08x = 52,356,393,278.33
  5. Step 5: Solve for x
    x = 52,356,393,278.33/264,367.08
  6. Step 6: Final answer
    x = 198,044.30

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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.