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Finding the Fourth Proportional to 216,140.30, 298,273.31 and 120,646.99

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Solution

The fourth proportional to 216,140.30, 298,273.31 and 120,646.99 is: 166,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,140.30 : 298,273.31 = 120,646.99 : x
  2. Step 2: Convert to fraction form
    216,140.30/298,273.31 = 120,646.99/x
  3. Step 3: Cross multiply
    216,140.30x = 298,273.31 × 120,646.99
  4. Step 4: Simplify right side
    216,140.30x = 35,985,778,449.08
  5. Step 5: Solve for x
    x = 35,985,778,449.08/216,140.30
  6. Step 6: Final answer
    x = 166,492.68

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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.