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Finding the Fourth Proportional to 117,170, 175,784.98 and 34,064

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Solution

The fourth proportional to 117,170, 175,784.98 and 34,064 is: 51,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,170 : 175,784.98 = 34,064 : x
  2. Step 2: Convert to fraction form
    117,170/175,784.98 = 34,064/x
  3. Step 3: Cross multiply
    117,170x = 175,784.98 × 34,064
  4. Step 4: Simplify right side
    117,170x = 5,987,939,558.72
  5. Step 5: Solve for x
    x = 5,987,939,558.72/117,170
  6. Step 6: Final answer
    x = 51,104.72

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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.