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Finding the Fourth Proportional to 264,361.85, 364,825.52 and 156,932.29

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Solution

The fourth proportional to 264,361.85, 364,825.52 and 156,932.29 is: 216,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,361.85 : 364,825.52 = 156,932.29 : x
  2. Step 2: Convert to fraction form
    264,361.85/364,825.52 = 156,932.29/x
  3. Step 3: Cross multiply
    264,361.85x = 364,825.52 × 156,932.29
  4. Step 4: Simplify right side
    264,361.85x = 57,252,903,519.38
  5. Step 5: Solve for x
    x = 57,252,903,519.38/264,361.85
  6. Step 6: Final answer
    x = 216,570.22

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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.