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Finding the Fourth Proportional to 190,855.14, 286,381.11 and 78,618.30

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Solution

The fourth proportional to 190,855.14, 286,381.11 and 78,618.30 is: 117,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,855.14 : 286,381.11 = 78,618.30 : x
  2. Step 2: Convert to fraction form
    190,855.14/286,381.11 = 78,618.30/x
  3. Step 3: Cross multiply
    190,855.14x = 286,381.11 × 78,618.30
  4. Step 4: Simplify right side
    190,855.14x = 22,514,796,020.31
  5. Step 5: Solve for x
    x = 22,514,796,020.31/190,855.14
  6. Step 6: Final answer
    x = 117,967.98

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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.