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Finding the Fourth Proportional to 190,068.78, 285,118.56 and 49,827

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Solution

The fourth proportional to 190,068.78, 285,118.56 and 49,827 is: 74,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,068.78 : 285,118.56 = 49,827 : x
  2. Step 2: Convert to fraction form
    190,068.78/285,118.56 = 49,827/x
  3. Step 3: Cross multiply
    190,068.78x = 285,118.56 × 49,827
  4. Step 4: Simplify right side
    190,068.78x = 14,206,602,489.12
  5. Step 5: Solve for x
    x = 14,206,602,489.12/190,068.78
  6. Step 6: Final answer
    x = 74,744.53

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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.