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Finding the Fourth Proportional to 199,473.78, 275,284.35 and 114,596.31

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Solution

The fourth proportional to 199,473.78, 275,284.35 and 114,596.31 is: 158,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,473.78 : 275,284.35 = 114,596.31 : x
  2. Step 2: Convert to fraction form
    199,473.78/275,284.35 = 114,596.31/x
  3. Step 3: Cross multiply
    199,473.78x = 275,284.35 × 114,596.31
  4. Step 4: Simplify right side
    199,473.78x = 31,546,570,710.75
  5. Step 5: Solve for x
    x = 31,546,570,710.75/199,473.78
  6. Step 6: Final answer
    x = 158,148.96

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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.