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Finding the Fourth Proportional to 256,041.54, 353,400.57 and 155,523.78

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Solution

The fourth proportional to 256,041.54, 353,400.57 and 155,523.78 is: 214,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041.54 : 353,400.57 = 155,523.78 : x
  2. Step 2: Convert to fraction form
    256,041.54/353,400.57 = 155,523.78/x
  3. Step 3: Cross multiply
    256,041.54x = 353,400.57 × 155,523.78
  4. Step 4: Simplify right side
    256,041.54x = 54,962,192,500.55
  5. Step 5: Solve for x
    x = 54,962,192,500.55/256,041.54
  6. Step 6: Final answer
    x = 214,661.23

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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.