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Finding the Fourth Proportional to 114,709.50, 158,230.47 and 72,194.22

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Solution

The fourth proportional to 114,709.50, 158,230.47 and 72,194.22 is: 99,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,709.50 : 158,230.47 = 72,194.22 : x
  2. Step 2: Convert to fraction form
    114,709.50/158,230.47 = 72,194.22/x
  3. Step 3: Cross multiply
    114,709.50x = 158,230.47 × 72,194.22
  4. Step 4: Simplify right side
    114,709.50x = 11,423,325,361.88
  5. Step 5: Solve for x
    x = 11,423,325,361.88/114,709.50
  6. Step 6: Final answer
    x = 99,584.82

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1.5x scale

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.