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Finding the Fourth Proportional to 256,498.80, 353,957.28 and 141,771.48

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Solution

The fourth proportional to 256,498.80, 353,957.28 and 141,771.48 is: 195,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.80 : 353,957.28 = 141,771.48 : x
  2. Step 2: Convert to fraction form
    256,498.80/353,957.28 = 141,771.48/x
  3. Step 3: Cross multiply
    256,498.80x = 353,957.28 × 141,771.48
  4. Step 4: Simplify right side
    256,498.80x = 50,181,047,442.37
  5. Step 5: Solve for x
    x = 50,181,047,442.37/256,498.80
  6. Step 6: Final answer
    x = 195,638.53

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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.