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Finding the Fourth Proportional to 267,807.26, 401,698.74 and 118,007.48

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Solution

The fourth proportional to 267,807.26, 401,698.74 and 118,007.48 is: 177,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,807.26 : 401,698.74 = 118,007.48 : x
  2. Step 2: Convert to fraction form
    267,807.26/401,698.74 = 118,007.48/x
  3. Step 3: Cross multiply
    267,807.26x = 401,698.74 × 118,007.48
  4. Step 4: Simplify right side
    267,807.26x = 47,403,456,026.58
  5. Step 5: Solve for x
    x = 47,403,456,026.58/267,807.26
  6. Step 6: Final answer
    x = 177,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.