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Finding the Fourth Proportional to 111,474.16, 153,824.16 and 66,144.34

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Solution

The fourth proportional to 111,474.16, 153,824.16 and 66,144.34 is: 91,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,474.16 : 153,824.16 = 66,144.34 : x
  2. Step 2: Convert to fraction form
    111,474.16/153,824.16 = 66,144.34/x
  3. Step 3: Cross multiply
    111,474.16x = 153,824.16 × 66,144.34
  4. Step 4: Simplify right side
    111,474.16x = 10,174,597,539.25
  5. Step 5: Solve for x
    x = 10,174,597,539.25/111,474.16
  6. Step 6: Final answer
    x = 91,273.15

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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.