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Finding the Fourth Proportional to 134,771.38, 185,969.64 and 78,171.82

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Solution

The fourth proportional to 134,771.38, 185,969.64 and 78,171.82 is: 107,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,771.38 : 185,969.64 = 78,171.82 : x
  2. Step 2: Convert to fraction form
    134,771.38/185,969.64 = 78,171.82/x
  3. Step 3: Cross multiply
    134,771.38x = 185,969.64 × 78,171.82
  4. Step 4: Simplify right side
    134,771.38x = 14,537,585,223.54
  5. Step 5: Solve for x
    x = 14,537,585,223.54/134,771.38
  6. Step 6: Final answer
    x = 107,868.49

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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.