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Finding the Fourth Proportional to 139,816.20, 192,931.78 and 83,216.52

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Solution

The fourth proportional to 139,816.20, 192,931.78 and 83,216.52 is: 114,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,816.20 : 192,931.78 = 83,216.52 : x
  2. Step 2: Convert to fraction form
    139,816.20/192,931.78 = 83,216.52/x
  3. Step 3: Cross multiply
    139,816.20x = 192,931.78 × 83,216.52
  4. Step 4: Simplify right side
    139,816.20x = 16,055,111,329.01
  5. Step 5: Solve for x
    x = 16,055,111,329.01/139,816.20
  6. Step 6: Final answer
    x = 114,830.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.