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Finding the Fourth Proportional to 256,505.57, 353,976.95 and 143,328.41

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Solution

The fourth proportional to 256,505.57, 353,976.95 and 143,328.41 is: 197,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.57 : 353,976.95 = 143,328.41 : x
  2. Step 2: Convert to fraction form
    256,505.57/353,976.95 = 143,328.41/x
  3. Step 3: Cross multiply
    256,505.57x = 353,976.95 × 143,328.41
  4. Step 4: Simplify right side
    256,505.57x = 50,734,952,703.51
  5. Step 5: Solve for x
    x = 50,734,952,703.51/256,505.57
  6. Step 6: Final answer
    x = 197,792.79

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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.