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Finding the Fourth Proportional to 263,340.01, 363,406.63 and 142,478.64

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Solution

The fourth proportional to 263,340.01, 363,406.63 and 142,478.64 is: 196,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,340.01 : 363,406.63 = 142,478.64 : x
  2. Step 2: Convert to fraction form
    263,340.01/363,406.63 = 142,478.64/x
  3. Step 3: Cross multiply
    263,340.01x = 363,406.63 × 142,478.64
  4. Step 4: Simplify right side
    263,340.01x = 51,777,682,409.38
  5. Step 5: Solve for x
    x = 51,777,682,409.38/263,340.01
  6. Step 6: Final answer
    x = 196,619.13

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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.