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Finding the Fourth Proportional to 114,292.50, 157,728.51 and 66,538.14

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Solution

The fourth proportional to 114,292.50, 157,728.51 and 66,538.14 is: 91,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,292.50 : 157,728.51 = 66,538.14 : x
  2. Step 2: Convert to fraction form
    114,292.50/157,728.51 = 66,538.14/x
  3. Step 3: Cross multiply
    114,292.50x = 157,728.51 × 66,538.14
  4. Step 4: Simplify right side
    114,292.50x = 10,494,961,680.37
  5. Step 5: Solve for x
    x = 10,494,961,680.37/114,292.50
  6. Step 6: Final answer
    x = 91,825.46

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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.