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Finding the Fourth Proportional to 128,984.94, 193,455.84 and 34,221

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Solution

The fourth proportional to 128,984.94, 193,455.84 and 34,221 is: 51,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,984.94 : 193,455.84 = 34,221 : x
  2. Step 2: Convert to fraction form
    128,984.94/193,455.84 = 34,221/x
  3. Step 3: Cross multiply
    128,984.94x = 193,455.84 × 34,221
  4. Step 4: Simplify right side
    128,984.94x = 6,620,252,300.64
  5. Step 5: Solve for x
    x = 6,620,252,300.64/128,984.94
  6. Step 6: Final answer
    x = 51,325.78

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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.