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Finding the Fourth Proportional to 256,325.64, 353,728.22 and 141,604.32

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Solution

The fourth proportional to 256,325.64, 353,728.22 and 141,604.32 is: 195,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,325.64 : 353,728.22 = 141,604.32 : x
  2. Step 2: Convert to fraction form
    256,325.64/353,728.22 = 141,604.32/x
  3. Step 3: Cross multiply
    256,325.64x = 353,728.22 × 141,604.32
  4. Step 4: Simplify right side
    256,325.64x = 50,089,444,057.91
  5. Step 5: Solve for x
    x = 50,089,444,057.91/256,325.64
  6. Step 6: Final answer
    x = 195,413.32

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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.