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Finding the Fourth Proportional to 127,356.30, 190,921.46 and 64,093.68

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Solution

The fourth proportional to 127,356.30, 190,921.46 and 64,093.68 is: 96,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356.30 : 190,921.46 = 64,093.68 : x
  2. Step 2: Convert to fraction form
    127,356.30/190,921.46 = 64,093.68/x
  3. Step 3: Cross multiply
    127,356.30x = 190,921.46 × 64,093.68
  4. Step 4: Simplify right side
    127,356.30x = 12,236,858,641.90
  5. Step 5: Solve for x
    x = 12,236,858,641.90/127,356.30
  6. Step 6: Final answer
    x = 96,083.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.