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Finding the Fourth Proportional to 275,984.34, 414,137.14 and 116,048.70

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Solution

The fourth proportional to 275,984.34, 414,137.14 and 116,048.70 is: 174,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,984.34 : 414,137.14 = 116,048.70 : x
  2. Step 2: Convert to fraction form
    275,984.34/414,137.14 = 116,048.70/x
  3. Step 3: Cross multiply
    275,984.34x = 414,137.14 × 116,048.70
  4. Step 4: Simplify right side
    275,984.34x = 48,060,076,718.72
  5. Step 5: Solve for x
    x = 48,060,076,718.72/275,984.34
  6. Step 6: Final answer
    x = 174,140.59

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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.