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Finding the Fourth Proportional to 190,663, 286,073.82 and 83,992.36

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Solution

The fourth proportional to 190,663, 286,073.82 and 83,992.36 is: 126,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,663 : 286,073.82 = 83,992.36 : x
  2. Step 2: Convert to fraction form
    190,663/286,073.82 = 83,992.36/x
  3. Step 3: Cross multiply
    190,663x = 286,073.82 × 83,992.36
  4. Step 4: Simplify right side
    190,663x = 24,028,015,276.02
  5. Step 5: Solve for x
    x = 24,028,015,276.02/190,663
  6. Step 6: Final answer
    x = 126,023.48

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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.