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Finding the Fourth Proportional to 264,050.64, 364,391.76 and 143,192.64

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Solution

The fourth proportional to 264,050.64, 364,391.76 and 143,192.64 is: 197,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,050.64 : 364,391.76 = 143,192.64 : x
  2. Step 2: Convert to fraction form
    264,050.64/364,391.76 = 143,192.64/x
  3. Step 3: Cross multiply
    264,050.64x = 364,391.76 × 143,192.64
  4. Step 4: Simplify right side
    264,050.64x = 52,178,218,108.65
  5. Step 5: Solve for x
    x = 52,178,218,108.65/264,050.64
  6. Step 6: Final answer
    x = 197,606.86

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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.