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Finding the Fourth Proportional to 128,208.34, 192,208.46 and 53,384.46

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Solution

The fourth proportional to 128,208.34, 192,208.46 and 53,384.46 is: 80,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,208.34 : 192,208.46 = 53,384.46 : x
  2. Step 2: Convert to fraction form
    128,208.34/192,208.46 = 53,384.46/x
  3. Step 3: Cross multiply
    128,208.34x = 192,208.46 × 53,384.46
  4. Step 4: Simplify right side
    128,208.34x = 10,260,944,577.61
  5. Step 5: Solve for x
    x = 10,260,944,577.61/128,208.34
  6. Step 6: Final answer
    x = 80,033.36

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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.