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Finding the Fourth Proportional to 208,061.30, 311,563.95 and 114,461.30

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Solution

The fourth proportional to 208,061.30, 311,563.95 and 114,461.30 is: 171,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,061.30 : 311,563.95 = 114,461.30 : x
  2. Step 2: Convert to fraction form
    208,061.30/311,563.95 = 114,461.30/x
  3. Step 3: Cross multiply
    208,061.30x = 311,563.95 × 114,461.30
  4. Step 4: Simplify right side
    208,061.30x = 35,662,014,750.14
  5. Step 5: Solve for x
    x = 35,662,014,750.14/208,061.30
  6. Step 6: Final answer
    x = 171,401.48

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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.