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Finding the Fourth Proportional to 256,895.88, 354,507.54 and 142,179.36

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Solution

The fourth proportional to 256,895.88, 354,507.54 and 142,179.36 is: 196,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,895.88 : 354,507.54 = 142,179.36 : x
  2. Step 2: Convert to fraction form
    256,895.88/354,507.54 = 142,179.36/x
  3. Step 3: Cross multiply
    256,895.88x = 354,507.54 × 142,179.36
  4. Step 4: Simplify right side
    256,895.88x = 50,403,655,152.37
  5. Step 5: Solve for x
    x = 50,403,655,152.37/256,895.88
  6. Step 6: Final answer
    x = 196,202.66

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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.