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Finding the Fourth Proportional to 190,179.94, 262,456.52 and 105,297

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Solution

The fourth proportional to 190,179.94, 262,456.52 and 105,297 is: 145,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,179.94 : 262,456.52 = 105,297 : x
  2. Step 2: Convert to fraction form
    190,179.94/262,456.52 = 105,297/x
  3. Step 3: Cross multiply
    190,179.94x = 262,456.52 × 105,297
  4. Step 4: Simplify right side
    190,179.94x = 27,635,883,659.96
  5. Step 5: Solve for x
    x = 27,635,883,659.96/190,179.94
  6. Step 6: Final answer
    x = 145,314.40

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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.