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Finding the Fourth Proportional to 204,698.88, 307,140.48 and 111,064.32

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Solution

The fourth proportional to 204,698.88, 307,140.48 and 111,064.32 is: 166,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,698.88 : 307,140.48 = 111,064.32 : x
  2. Step 2: Convert to fraction form
    204,698.88/307,140.48 = 111,064.32/x
  3. Step 3: Cross multiply
    204,698.88x = 307,140.48 × 111,064.32
  4. Step 4: Simplify right side
    204,698.88x = 34,112,348,555.67
  5. Step 5: Solve for x
    x = 34,112,348,555.67/204,698.88
  6. Step 6: Final answer
    x = 166,646.48

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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.