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Finding the Fourth Proportional to 190,257.54, 285,312.87 and 57,106.50

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Solution

The fourth proportional to 190,257.54, 285,312.87 and 57,106.50 is: 85,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,257.54 : 285,312.87 = 57,106.50 : x
  2. Step 2: Convert to fraction form
    190,257.54/285,312.87 = 57,106.50/x
  3. Step 3: Cross multiply
    190,257.54x = 285,312.87 × 57,106.50
  4. Step 4: Simplify right side
    190,257.54x = 16,293,219,410.66
  5. Step 5: Solve for x
    x = 16,293,219,410.66/190,257.54
  6. Step 6: Final answer
    x = 85,637.71

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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.