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Finding the Fourth Proportional to 190,492.56, 285,738.84 and 78,153.66

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Solution

The fourth proportional to 190,492.56, 285,738.84 and 78,153.66 is: 117,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,492.56 : 285,738.84 = 78,153.66 : x
  2. Step 2: Convert to fraction form
    190,492.56/285,738.84 = 78,153.66/x
  3. Step 3: Cross multiply
    190,492.56x = 285,738.84 × 78,153.66
  4. Step 4: Simplify right side
    190,492.56x = 22,331,536,150.15
  5. Step 5: Solve for x
    x = 22,331,536,150.15/190,492.56
  6. Step 6: Final answer
    x = 117,230.49

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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.