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Finding the Fourth Proportional to 263,898, 364,202.28 and 144,689.04

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Solution

The fourth proportional to 263,898, 364,202.28 and 144,689.04 is: 199,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,898 : 364,202.28 = 144,689.04 : x
  2. Step 2: Convert to fraction form
    263,898/364,202.28 = 144,689.04/x
  3. Step 3: Cross multiply
    263,898x = 364,202.28 × 144,689.04
  4. Step 4: Simplify right side
    263,898x = 52,696,078,259.01
  5. Step 5: Solve for x
    x = 52,696,078,259.01/263,898
  6. Step 6: Final answer
    x = 199,683.51

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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.