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Finding the Fourth Proportional to 264,395.34, 364,869.36 and 143,536.86

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Solution

The fourth proportional to 264,395.34, 364,869.36 and 143,536.86 is: 198,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,395.34 : 364,869.36 = 143,536.86 : x
  2. Step 2: Convert to fraction form
    264,395.34/364,869.36 = 143,536.86/x
  3. Step 3: Cross multiply
    264,395.34x = 364,869.36 × 143,536.86
  4. Step 4: Simplify right side
    264,395.34x = 52,372,202,244.61
  5. Step 5: Solve for x
    x = 52,372,202,244.61/264,395.34
  6. Step 6: Final answer
    x = 198,082.92

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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.