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Finding the Fourth Proportional to 263,662.86, 363,854.60 and 142,804.11

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Solution

The fourth proportional to 263,662.86, 363,854.60 and 142,804.11 is: 197,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,662.86 : 363,854.60 = 142,804.11 : x
  2. Step 2: Convert to fraction form
    263,662.86/363,854.60 = 142,804.11/x
  3. Step 3: Cross multiply
    263,662.86x = 363,854.60 × 142,804.11
  4. Step 4: Simplify right side
    263,662.86x = 51,959,933,508.36
  5. Step 5: Solve for x
    x = 51,959,933,508.36/263,662.86
  6. Step 6: Final answer
    x = 197,069.59

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1.5x scale

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.