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Finding the Fourth Proportional to 208,093.10, 312,139.65 and 208,093.10

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Solution

The fourth proportional to 208,093.10, 312,139.65 and 208,093.10 is: 312,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.10 : 312,139.65 = 208,093.10 : x
  2. Step 2: Convert to fraction form
    208,093.10/312,139.65 = 208,093.10/x
  3. Step 3: Cross multiply
    208,093.10x = 312,139.65 × 208,093.10
  4. Step 4: Simplify right side
    208,093.10x = 64,954,107,401.42
  5. Step 5: Solve for x
    x = 64,954,107,401.42/208,093.10
  6. Step 6: Final answer
    x = 312,139.65

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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.