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Finding the Fourth Proportional to 201,795.63, 278,478.03 and 116,961.90

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Solution

The fourth proportional to 201,795.63, 278,478.03 and 116,961.90 is: 161,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,795.63 : 278,478.03 = 116,961.90 : x
  2. Step 2: Convert to fraction form
    201,795.63/278,478.03 = 116,961.90/x
  3. Step 3: Cross multiply
    201,795.63x = 278,478.03 × 116,961.90
  4. Step 4: Simplify right side
    201,795.63x = 32,571,319,497.06
  5. Step 5: Solve for x
    x = 32,571,319,497.06/201,795.63
  6. Step 6: Final answer
    x = 161,407.46

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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.