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Finding the Fourth Proportional to 216,274.06, 298,455.06 and 120,782.08

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Solution

The fourth proportional to 216,274.06, 298,455.06 and 120,782.08 is: 166,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,274.06 : 298,455.06 = 120,782.08 : x
  2. Step 2: Convert to fraction form
    216,274.06/298,455.06 = 120,782.08/x
  3. Step 3: Cross multiply
    216,274.06x = 298,455.06 × 120,782.08
  4. Step 4: Simplify right side
    216,274.06x = 36,048,022,933.32
  5. Step 5: Solve for x
    x = 36,048,022,933.32/216,274.06
  6. Step 6: Final answer
    x = 166,677.52

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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.