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Finding the Fourth Proportional to 190,495.20, 285,840 and 78,261.60

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Solution

The fourth proportional to 190,495.20, 285,840 and 78,261.60 is: 117,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,495.20 : 285,840 = 78,261.60 : x
  2. Step 2: Convert to fraction form
    190,495.20/285,840 = 78,261.60/x
  3. Step 3: Cross multiply
    190,495.20x = 285,840 × 78,261.60
  4. Step 4: Simplify right side
    190,495.20x = 22,370,295,744
  5. Step 5: Solve for x
    x = 22,370,295,744/190,495.20
  6. Step 6: Final answer
    x = 117,432.33

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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.