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Finding the Fourth Proportional to 256,831.80, 354,653.10 and 161,503.80

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Solution

The fourth proportional to 256,831.80, 354,653.10 and 161,503.80 is: 223,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,831.80 : 354,653.10 = 161,503.80 : x
  2. Step 2: Convert to fraction form
    256,831.80/354,653.10 = 161,503.80/x
  3. Step 3: Cross multiply
    256,831.80x = 354,653.10 × 161,503.80
  4. Step 4: Simplify right side
    256,831.80x = 57,277,823,331.78
  5. Step 5: Solve for x
    x = 57,277,823,331.78/256,831.80
  6. Step 6: Final answer
    x = 223,016.87

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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.