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Finding the Fourth Proportional to 256,646.22, 354,174.06 and 141,932.64

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Solution

The fourth proportional to 256,646.22, 354,174.06 and 141,932.64 is: 195,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,646.22 : 354,174.06 = 141,932.64 : x
  2. Step 2: Convert to fraction form
    256,646.22/354,174.06 = 141,932.64/x
  3. Step 3: Cross multiply
    256,646.22x = 354,174.06 × 141,932.64
  4. Step 4: Simplify right side
    256,646.22x = 50,268,859,355.32
  5. Step 5: Solve for x
    x = 50,268,859,355.32/256,646.22
  6. Step 6: Final answer
    x = 195,868.30

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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.