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Finding the Fourth Proportional to 190,551.72, 285,760.80 and 78,199.50

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Solution

The fourth proportional to 190,551.72, 285,760.80 and 78,199.50 is: 117,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,551.72 : 285,760.80 = 78,199.50 : x
  2. Step 2: Convert to fraction form
    190,551.72/285,760.80 = 78,199.50/x
  3. Step 3: Cross multiply
    190,551.72x = 285,760.80 × 78,199.50
  4. Step 4: Simplify right side
    190,551.72x = 22,346,351,679.60
  5. Step 5: Solve for x
    x = 22,346,351,679.60/190,551.72
  6. Step 6: Final answer
    x = 117,271.84

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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.