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Finding the Fourth Proportional to 114,517.40, 171,776.10 and 101,832.80

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Solution

The fourth proportional to 114,517.40, 171,776.10 and 101,832.80 is: 152,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,517.40 : 171,776.10 = 101,832.80 : x
  2. Step 2: Convert to fraction form
    114,517.40/171,776.10 = 101,832.80/x
  3. Step 3: Cross multiply
    114,517.40x = 171,776.10 × 101,832.80
  4. Step 4: Simplify right side
    114,517.40x = 17,492,441,236.08
  5. Step 5: Solve for x
    x = 17,492,441,236.08/114,517.40
  6. Step 6: Final answer
    x = 152,749.20

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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.