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Finding the Fourth Proportional to 114,636.40, 171,954.60 and 85,111.90

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Solution

The fourth proportional to 114,636.40, 171,954.60 and 85,111.90 is: 127,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,636.40 : 171,954.60 = 85,111.90 : x
  2. Step 2: Convert to fraction form
    114,636.40/171,954.60 = 85,111.90/x
  3. Step 3: Cross multiply
    114,636.40x = 171,954.60 × 85,111.90
  4. Step 4: Simplify right side
    114,636.40x = 14,635,382,719.74
  5. Step 5: Solve for x
    x = 14,635,382,719.74/114,636.40
  6. Step 6: Final answer
    x = 127,667.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.