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Finding the Fourth Proportional to 256,598.34, 354,116.52 and 143,421

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Solution

The fourth proportional to 256,598.34, 354,116.52 and 143,421 is: 197,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,598.34 : 354,116.52 = 143,421 : x
  2. Step 2: Convert to fraction form
    256,598.34/354,116.52 = 143,421/x
  3. Step 3: Cross multiply
    256,598.34x = 354,116.52 × 143,421
  4. Step 4: Simplify right side
    256,598.34x = 50,787,745,414.92
  5. Step 5: Solve for x
    x = 50,787,745,414.92/256,598.34
  6. Step 6: Final answer
    x = 197,927.02

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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.