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Finding the Fourth Proportional to 264,336.54, 364,784.79 and 143,477.86

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Solution

The fourth proportional to 264,336.54, 364,784.79 and 143,477.86 is: 197,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336.54 : 364,784.79 = 143,477.86 : x
  2. Step 2: Convert to fraction form
    264,336.54/364,784.79 = 143,477.86/x
  3. Step 3: Cross multiply
    264,336.54x = 364,784.79 × 143,477.86
  4. Step 4: Simplify right side
    264,336.54x = 52,338,541,029.75
  5. Step 5: Solve for x
    x = 52,338,541,029.75/264,336.54
  6. Step 6: Final answer
    x = 197,999.64

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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.