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Finding the Fourth Proportional to 256,683.30, 354,211.29 and 141,963

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Solution

The fourth proportional to 256,683.30, 354,211.29 and 141,963 is: 195,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683.30 : 354,211.29 = 141,963 : x
  2. Step 2: Convert to fraction form
    256,683.30/354,211.29 = 141,963/x
  3. Step 3: Cross multiply
    256,683.30x = 354,211.29 × 141,963
  4. Step 4: Simplify right side
    256,683.30x = 50,284,897,362.27
  5. Step 5: Solve for x
    x = 50,284,897,362.27/256,683.30
  6. Step 6: Final answer
    x = 195,902.49

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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.