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Finding the Fourth Proportional to 190,588.43, 285,810 and 64,194.75

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Solution

The fourth proportional to 190,588.43, 285,810 and 64,194.75 is: 96,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,588.43 : 285,810 = 64,194.75 : x
  2. Step 2: Convert to fraction form
    190,588.43/285,810 = 64,194.75/x
  3. Step 3: Cross multiply
    190,588.43x = 285,810 × 64,194.75
  4. Step 4: Simplify right side
    190,588.43x = 18,347,501,497.50
  5. Step 5: Solve for x
    x = 18,347,501,497.50/190,588.43
  6. Step 6: Final answer
    x = 96,267.66

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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.