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Finding the Fourth Proportional to 128,202.96, 192,282.22 and 34,686.84

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Solution

The fourth proportional to 128,202.96, 192,282.22 and 34,686.84 is: 52,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202.96 : 192,282.22 = 34,686.84 : x
  2. Step 2: Convert to fraction form
    128,202.96/192,282.22 = 34,686.84/x
  3. Step 3: Cross multiply
    128,202.96x = 192,282.22 × 34,686.84
  4. Step 4: Simplify right side
    128,202.96x = 6,669,662,599.98
  5. Step 5: Solve for x
    x = 6,669,662,599.98/128,202.96
  6. Step 6: Final answer
    x = 52,024.25

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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.