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Finding the Fourth Proportional to 200,064.52, 276,078.90 and 110,623.24

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Solution

The fourth proportional to 200,064.52, 276,078.90 and 110,623.24 is: 152,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064.52 : 276,078.90 = 110,623.24 : x
  2. Step 2: Convert to fraction form
    200,064.52/276,078.90 = 110,623.24/x
  3. Step 3: Cross multiply
    200,064.52x = 276,078.90 × 110,623.24
  4. Step 4: Simplify right side
    200,064.52x = 30,540,742,413.64
  5. Step 5: Solve for x
    x = 30,540,742,413.64/200,064.52
  6. Step 6: Final answer
    x = 152,654.47

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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.