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Finding the Fourth Proportional to 188,246.42, 259,784.25 and 103,363.82

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Solution

The fourth proportional to 188,246.42, 259,784.25 and 103,363.82 is: 142,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,246.42 : 259,784.25 = 103,363.82 : x
  2. Step 2: Convert to fraction form
    188,246.42/259,784.25 = 103,363.82/x
  3. Step 3: Cross multiply
    188,246.42x = 259,784.25 × 103,363.82
  4. Step 4: Simplify right side
    188,246.42x = 26,852,292,455.84
  5. Step 5: Solve for x
    x = 26,852,292,455.84/188,246.42
  6. Step 6: Final answer
    x = 142,644.37

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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.