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Finding the Fourth Proportional to 194,633.10, 291,949.65 and 186,857.10

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Solution

The fourth proportional to 194,633.10, 291,949.65 and 186,857.10 is: 280,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,633.10 : 291,949.65 = 186,857.10 : x
  2. Step 2: Convert to fraction form
    194,633.10/291,949.65 = 186,857.10/x
  3. Step 3: Cross multiply
    194,633.10x = 291,949.65 × 186,857.10
  4. Step 4: Simplify right side
    194,633.10x = 54,552,864,945.02
  5. Step 5: Solve for x
    x = 54,552,864,945.02/194,633.10
  6. Step 6: Final answer
    x = 280,285.65

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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.