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Finding the Fourth Proportional to 128,468, 177,285.84 and 71,890.31

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Solution

The fourth proportional to 128,468, 177,285.84 and 71,890.31 is: 99,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,468 : 177,285.84 = 71,890.31 : x
  2. Step 2: Convert to fraction form
    128,468/177,285.84 = 71,890.31/x
  3. Step 3: Cross multiply
    128,468x = 177,285.84 × 71,890.31
  4. Step 4: Simplify right side
    128,468x = 12,745,133,996.21
  5. Step 5: Solve for x
    x = 12,745,133,996.21/128,468
  6. Step 6: Final answer
    x = 99,208.63

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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.