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Finding the Fourth Proportional to 263,155.64, 363,154.52 and 142,296.65

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Solution

The fourth proportional to 263,155.64, 363,154.52 and 142,296.65 is: 196,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,155.64 : 363,154.52 = 142,296.65 : x
  2. Step 2: Convert to fraction form
    263,155.64/363,154.52 = 142,296.65/x
  3. Step 3: Cross multiply
    263,155.64x = 363,154.52 × 142,296.65
  4. Step 4: Simplify right side
    263,155.64x = 51,675,669,101.10
  5. Step 5: Solve for x
    x = 51,675,669,101.10/263,155.64
  6. Step 6: Final answer
    x = 196,369.23

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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.