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Finding the Fourth Proportional to 200,078.46, 276,117.12 and 115,222.86

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Solution

The fourth proportional to 200,078.46, 276,117.12 and 115,222.86 is: 159,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.46 : 276,117.12 = 115,222.86 : x
  2. Step 2: Convert to fraction form
    200,078.46/276,117.12 = 115,222.86/x
  3. Step 3: Cross multiply
    200,078.46x = 276,117.12 × 115,222.86
  4. Step 4: Simplify right side
    200,078.46x = 31,815,004,261.36
  5. Step 5: Solve for x
    x = 31,815,004,261.36/200,078.46
  6. Step 6: Final answer
    x = 159,012.64

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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.