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Finding the Fourth Proportional to 256,498.62, 353,957.12 and 141,771.40

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Solution

The fourth proportional to 256,498.62, 353,957.12 and 141,771.40 is: 195,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.62 : 353,957.12 = 141,771.40 : x
  2. Step 2: Convert to fraction form
    256,498.62/353,957.12 = 141,771.40/x
  3. Step 3: Cross multiply
    256,498.62x = 353,957.12 × 141,771.40
  4. Step 4: Simplify right side
    256,498.62x = 50,180,996,442.37
  5. Step 5: Solve for x
    x = 50,180,996,442.37/256,498.62
  6. Step 6: Final answer
    x = 195,638.47

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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.