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Finding the Fourth Proportional to 231,765.84, 347,601.95 and 161,329.18

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Solution

The fourth proportional to 231,765.84, 347,601.95 and 161,329.18 is: 241,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,765.84 : 347,601.95 = 161,329.18 : x
  2. Step 2: Convert to fraction form
    231,765.84/347,601.95 = 161,329.18/x
  3. Step 3: Cross multiply
    231,765.84x = 347,601.95 × 161,329.18
  4. Step 4: Simplify right side
    231,765.84x = 56,078,337,970.11
  5. Step 5: Solve for x
    x = 56,078,337,970.11/231,765.84
  6. Step 6: Final answer
    x = 241,961.18

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1.5x scale

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.