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Finding the Fourth Proportional to 200,216.08, 300,116.76 and 164,783.44

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Solution

The fourth proportional to 200,216.08, 300,116.76 and 164,783.44 is: 247,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,216.08 : 300,116.76 = 164,783.44 : x
  2. Step 2: Convert to fraction form
    200,216.08/300,116.76 = 164,783.44/x
  3. Step 3: Cross multiply
    200,216.08x = 300,116.76 × 164,783.44
  4. Step 4: Simplify right side
    200,216.08x = 49,454,272,114.45
  5. Step 5: Solve for x
    x = 49,454,272,114.45/200,216.08
  6. Step 6: Final answer
    x = 247,004.50

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