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Finding the Fourth Proportional to 114,084, 171,195.12 and 48,420

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Solution

The fourth proportional to 114,084, 171,195.12 and 48,420 is: 72,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084 : 171,195.12 = 48,420 : x
  2. Step 2: Convert to fraction form
    114,084/171,195.12 = 48,420/x
  3. Step 3: Cross multiply
    114,084x = 171,195.12 × 48,420
  4. Step 4: Simplify right side
    114,084x = 8,289,267,710.40
  5. Step 5: Solve for x
    x = 8,289,267,710.40/114,084
  6. Step 6: Final answer
    x = 72,659.34

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