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Finding the Fourth Proportional to 114,164.75, 171,325.02 and 40,292.75

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Solution

The fourth proportional to 114,164.75, 171,325.02 and 40,292.75 is: 60,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,164.75 : 171,325.02 = 40,292.75 : x
  2. Step 2: Convert to fraction form
    114,164.75/171,325.02 = 40,292.75/x
  3. Step 3: Cross multiply
    114,164.75x = 171,325.02 × 40,292.75
  4. Step 4: Simplify right side
    114,164.75x = 6,903,156,199.61
  5. Step 5: Solve for x
    x = 6,903,156,199.61/114,164.75
  6. Step 6: Final answer
    x = 60,466.62

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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.