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Finding the Fourth Proportional to 208,041.70, 311,880.30 and 141,265.30

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Solution

The fourth proportional to 208,041.70, 311,880.30 and 141,265.30 is: 211,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.70 : 311,880.30 = 141,265.30 : x
  2. Step 2: Convert to fraction form
    208,041.70/311,880.30 = 141,265.30/x
  3. Step 3: Cross multiply
    208,041.70x = 311,880.30 × 141,265.30
  4. Step 4: Simplify right side
    208,041.70x = 44,057,864,143.59
  5. Step 5: Solve for x
    x = 44,057,864,143.59/208,041.70
  6. Step 6: Final answer
    x = 211,774.20

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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.