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Finding the Fourth Proportional to 263,522.90, 363,661.52 and 142,664.10

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Solution

The fourth proportional to 263,522.90, 363,661.52 and 142,664.10 is: 196,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,522.90 : 363,661.52 = 142,664.10 : x
  2. Step 2: Convert to fraction form
    263,522.90/363,661.52 = 142,664.10/x
  3. Step 3: Cross multiply
    263,522.90x = 363,661.52 × 142,664.10
  4. Step 4: Simplify right side
    263,522.90x = 51,881,442,742.11
  5. Step 5: Solve for x
    x = 51,881,442,742.11/263,522.90
  6. Step 6: Final answer
    x = 196,876.41

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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.