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Finding the Fourth Proportional to 200,223.86, 276,281.58 and 119,634.26

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Solution

The fourth proportional to 200,223.86, 276,281.58 and 119,634.26 is: 165,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,223.86 : 276,281.58 = 119,634.26 : x
  2. Step 2: Convert to fraction form
    200,223.86/276,281.58 = 119,634.26/x
  3. Step 3: Cross multiply
    200,223.86x = 276,281.58 × 119,634.26
  4. Step 4: Simplify right side
    200,223.86x = 33,052,742,374.93
  5. Step 5: Solve for x
    x = 33,052,742,374.93/200,223.86
  6. Step 6: Final answer
    x = 165,078.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.