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Finding the Fourth Proportional to 216,033.40, 324,050.10 and 137,204.20

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Solution

The fourth proportional to 216,033.40, 324,050.10 and 137,204.20 is: 205,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,033.40 : 324,050.10 = 137,204.20 : x
  2. Step 2: Convert to fraction form
    216,033.40/324,050.10 = 137,204.20/x
  3. Step 3: Cross multiply
    216,033.40x = 324,050.10 × 137,204.20
  4. Step 4: Simplify right side
    216,033.40x = 44,461,034,730.42
  5. Step 5: Solve for x
    x = 44,461,034,730.42/216,033.40
  6. Step 6: Final answer
    x = 205,806.30

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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.