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Finding the Fourth Proportional to 256,111.92, 353,392.20 and 142,934.40

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Solution

The fourth proportional to 256,111.92, 353,392.20 and 142,934.40 is: 197,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.92 : 353,392.20 = 142,934.40 : x
  2. Step 2: Convert to fraction form
    256,111.92/353,392.20 = 142,934.40/x
  3. Step 3: Cross multiply
    256,111.92x = 353,392.20 × 142,934.40
  4. Step 4: Simplify right side
    256,111.92x = 50,511,902,071.68
  5. Step 5: Solve for x
    x = 50,511,902,071.68/256,111.92
  6. Step 6: Final answer
    x = 197,225.89

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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.