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Finding the Fourth Proportional to 190,786.86, 286,165.98 and 78,436.62

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Solution

The fourth proportional to 190,786.86, 286,165.98 and 78,436.62 is: 117,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,786.86 : 286,165.98 = 78,436.62 : x
  2. Step 2: Convert to fraction form
    190,786.86/286,165.98 = 78,436.62/x
  3. Step 3: Cross multiply
    190,786.86x = 286,165.98 × 78,436.62
  4. Step 4: Simplify right side
    190,786.86x = 22,445,892,230.19
  5. Step 5: Solve for x
    x = 22,445,892,230.19/190,786.86
  6. Step 6: Final answer
    x = 117,649.05

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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.