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Finding the Fourth Proportional to 150,194.34, 207,047.34 and 114,321.90

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Solution

The fourth proportional to 150,194.34, 207,047.34 and 114,321.90 is: 157,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,194.34 : 207,047.34 = 114,321.90 : x
  2. Step 2: Convert to fraction form
    150,194.34/207,047.34 = 114,321.90/x
  3. Step 3: Cross multiply
    150,194.34x = 207,047.34 × 114,321.90
  4. Step 4: Simplify right side
    150,194.34x = 23,670,045,298.75
  5. Step 5: Solve for x
    x = 23,670,045,298.75/150,194.34
  6. Step 6: Final answer
    x = 157,596.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.