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Finding the Fourth Proportional to 203,816.40, 305,724.60 and 157,160.40

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Solution

The fourth proportional to 203,816.40, 305,724.60 and 157,160.40 is: 235,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,816.40 : 305,724.60 = 157,160.40 : x
  2. Step 2: Convert to fraction form
    203,816.40/305,724.60 = 157,160.40/x
  3. Step 3: Cross multiply
    203,816.40x = 305,724.60 × 157,160.40
  4. Step 4: Simplify right side
    203,816.40x = 48,047,800,425.84
  5. Step 5: Solve for x
    x = 48,047,800,425.84/203,816.40
  6. Step 6: Final answer
    x = 235,740.60

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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.