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Finding the Fourth Proportional to 256,094.92, 353,411.28 and 142,917.64

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Solution

The fourth proportional to 256,094.92, 353,411.28 and 142,917.64 is: 197,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.92 : 353,411.28 = 142,917.64 : x
  2. Step 2: Convert to fraction form
    256,094.92/353,411.28 = 142,917.64/x
  3. Step 3: Cross multiply
    256,094.92x = 353,411.28 × 142,917.64
  4. Step 4: Simplify right side
    256,094.92x = 50,508,706,086.98
  5. Step 5: Solve for x
    x = 50,508,706,086.98/256,094.92
  6. Step 6: Final answer
    x = 197,226.51

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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.