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Finding the Fourth Proportional to 202,941.32, 304,120.71 and 114,007.64

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Solution

The fourth proportional to 202,941.32, 304,120.71 and 114,007.64 is: 170,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941.32 : 304,120.71 = 114,007.64 : x
  2. Step 2: Convert to fraction form
    202,941.32/304,120.71 = 114,007.64/x
  3. Step 3: Cross multiply
    202,941.32x = 304,120.71 × 114,007.64
  4. Step 4: Simplify right side
    202,941.32x = 34,672,082,901.62
  5. Step 5: Solve for x
    x = 34,672,082,901.62/202,941.32
  6. Step 6: Final answer
    x = 170,847.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.