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Finding the Fourth Proportional to 208,020.20, 312,030.30 and 102,817.40

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Solution

The fourth proportional to 208,020.20, 312,030.30 and 102,817.40 is: 154,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020.20 : 312,030.30 = 102,817.40 : x
  2. Step 2: Convert to fraction form
    208,020.20/312,030.30 = 102,817.40/x
  3. Step 3: Cross multiply
    208,020.20x = 312,030.30 × 102,817.40
  4. Step 4: Simplify right side
    208,020.20x = 32,082,144,167.22
  5. Step 5: Solve for x
    x = 32,082,144,167.22/208,020.20
  6. Step 6: Final answer
    x = 154,226.10

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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.