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Finding the Fourth Proportional to 177,858.74, 266,880.12 and 78,089

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Solution

The fourth proportional to 177,858.74, 266,880.12 and 78,089 is: 117,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858.74 : 266,880.12 = 78,089 : x
  2. Step 2: Convert to fraction form
    177,858.74/266,880.12 = 78,089/x
  3. Step 3: Cross multiply
    177,858.74x = 266,880.12 × 78,089
  4. Step 4: Simplify right side
    177,858.74x = 20,840,401,690.68
  5. Step 5: Solve for x
    x = 20,840,401,690.68/177,858.74
  6. Step 6: Final answer
    x = 117,173.90

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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.