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Finding the Fourth Proportional to 117,877.42, 162,684.71 and 66,203.02

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Solution

The fourth proportional to 117,877.42, 162,684.71 and 66,203.02 is: 91,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,877.42 : 162,684.71 = 66,203.02 : x
  2. Step 2: Convert to fraction form
    117,877.42/162,684.71 = 66,203.02/x
  3. Step 3: Cross multiply
    117,877.42x = 162,684.71 × 66,203.02
  4. Step 4: Simplify right side
    117,877.42x = 10,770,219,109.82
  5. Step 5: Solve for x
    x = 10,770,219,109.82/117,877.42
  6. Step 6: Final answer
    x = 91,367.96

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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.