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Finding the Fourth Proportional to 117,783.25, 162,515.22 and 66,784.48

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Solution

The fourth proportional to 117,783.25, 162,515.22 and 66,784.48 is: 92,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,783.25 : 162,515.22 = 66,784.48 : x
  2. Step 2: Convert to fraction form
    117,783.25/162,515.22 = 66,784.48/x
  3. Step 3: Cross multiply
    117,783.25x = 162,515.22 × 66,784.48
  4. Step 4: Simplify right side
    117,783.25x = 10,853,494,459.79
  5. Step 5: Solve for x
    x = 10,853,494,459.79/117,783.25
  6. Step 6: Final answer
    x = 92,148.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.