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Finding the Fourth Proportional to 208,065.80, 311,570.70 and 114,465.80

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Solution

The fourth proportional to 208,065.80, 311,570.70 and 114,465.80 is: 171,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.80 : 311,570.70 = 114,465.80 : x
  2. Step 2: Convert to fraction form
    208,065.80/311,570.70 = 114,465.80/x
  3. Step 3: Cross multiply
    208,065.80x = 311,570.70 × 114,465.80
  4. Step 4: Simplify right side
    208,065.80x = 35,664,189,432.06
  5. Step 5: Solve for x
    x = 35,664,189,432.06/208,065.80
  6. Step 6: Final answer
    x = 171,408.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.