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Finding the Fourth Proportional to 256,157.12, 353,485.44 and 142,977.28

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Solution

The fourth proportional to 256,157.12, 353,485.44 and 142,977.28 is: 197,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,157.12 : 353,485.44 = 142,977.28 : x
  2. Step 2: Convert to fraction form
    256,157.12/353,485.44 = 142,977.28/x
  3. Step 3: Cross multiply
    256,157.12x = 353,485.44 × 142,977.28
  4. Step 4: Simplify right side
    256,157.12x = 50,540,386,730.80
  5. Step 5: Solve for x
    x = 50,540,386,730.80/256,157.12
  6. Step 6: Final answer
    x = 197,302.29

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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.