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Finding the Fourth Proportional to 263,711.16, 363,923.16 and 142,852.46

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Solution

The fourth proportional to 263,711.16, 363,923.16 and 142,852.46 is: 197,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,711.16 : 363,923.16 = 142,852.46 : x
  2. Step 2: Convert to fraction form
    263,711.16/363,923.16 = 142,852.46/x
  3. Step 3: Cross multiply
    263,711.16x = 363,923.16 × 142,852.46
  4. Step 4: Simplify right side
    263,711.16x = 51,987,318,656.97
  5. Step 5: Solve for x
    x = 51,987,318,656.97/263,711.16
  6. Step 6: Final answer
    x = 197,137.35

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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.