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Finding the Fourth Proportional to 263,509.90, 363,643.26 and 142,651.16

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Solution

The fourth proportional to 263,509.90, 363,643.26 and 142,651.16 is: 196,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509.90 : 363,643.26 = 142,651.16 : x
  2. Step 2: Convert to fraction form
    263,509.90/363,643.26 = 142,651.16/x
  3. Step 3: Cross multiply
    263,509.90x = 363,643.26 × 142,651.16
  4. Step 4: Simplify right side
    263,509.90x = 51,874,132,865.18
  5. Step 5: Solve for x
    x = 51,874,132,865.18/263,509.90
  6. Step 6: Final answer
    x = 196,858.38

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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.