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Finding the Fourth Proportional to 117,212.50, 175,847.91 and 34,106.50

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Solution

The fourth proportional to 117,212.50, 175,847.91 and 34,106.50 is: 51,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,212.50 : 175,847.91 = 34,106.50 : x
  2. Step 2: Convert to fraction form
    117,212.50/175,847.91 = 34,106.50/x
  3. Step 3: Cross multiply
    117,212.50x = 175,847.91 × 34,106.50
  4. Step 4: Simplify right side
    117,212.50x = 5,997,556,742.42
  5. Step 5: Solve for x
    x = 5,997,556,742.42/117,212.50
  6. Step 6: Final answer
    x = 51,168.23

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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.