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Finding the Fourth Proportional to 264,291.38, 364,722.29 and 143,432.63

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Solution

The fourth proportional to 264,291.38, 364,722.29 and 143,432.63 is: 197,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,291.38 : 364,722.29 = 143,432.63 : x
  2. Step 2: Convert to fraction form
    264,291.38/364,722.29 = 143,432.63/x
  3. Step 3: Cross multiply
    264,291.38x = 364,722.29 × 143,432.63
  4. Step 4: Simplify right side
    264,291.38x = 52,313,076,794.72
  5. Step 5: Solve for x
    x = 52,313,076,794.72/264,291.38
  6. Step 6: Final answer
    x = 197,937.13

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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.