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Finding the Fourth Proportional to 200,792.32, 301,078.52 and 92,604.28

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Solution

The fourth proportional to 200,792.32, 301,078.52 and 92,604.28 is: 138,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.32 : 301,078.52 = 92,604.28 : x
  2. Step 2: Convert to fraction form
    200,792.32/301,078.52 = 92,604.28/x
  3. Step 3: Cross multiply
    200,792.32x = 301,078.52 × 92,604.28
  4. Step 4: Simplify right side
    200,792.32x = 27,881,159,568.07
  5. Step 5: Solve for x
    x = 27,881,159,568.07/200,792.32
  6. Step 6: Final answer
    x = 138,855.71

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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.