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Finding the Fourth Proportional to 216,458.20, 298,518.90 and 135,893.23

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Solution

The fourth proportional to 216,458.20, 298,518.90 and 135,893.23 is: 187,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.20 : 298,518.90 = 135,893.23 : x
  2. Step 2: Convert to fraction form
    216,458.20/298,518.90 = 135,893.23/x
  3. Step 3: Cross multiply
    216,458.20x = 298,518.90 × 135,893.23
  4. Step 4: Simplify right side
    216,458.20x = 40,566,697,537.05
  5. Step 5: Solve for x
    x = 40,566,697,537.05/216,458.20
  6. Step 6: Final answer
    x = 187,411.23

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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.