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Finding the Fourth Proportional to 263,155.52, 363,154.34 and 142,296.52

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Solution

The fourth proportional to 263,155.52, 363,154.34 and 142,296.52 is: 196,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,155.52 : 363,154.34 = 142,296.52 : x
  2. Step 2: Convert to fraction form
    263,155.52/363,154.34 = 142,296.52/x
  3. Step 3: Cross multiply
    263,155.52x = 363,154.34 × 142,296.52
  4. Step 4: Simplify right side
    263,155.52x = 51,675,596,989.13
  5. Step 5: Solve for x
    x = 51,675,596,989.13/263,155.52
  6. Step 6: Final answer
    x = 196,369.04

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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.