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Finding the Fourth Proportional to 256,522.82, 353,998.96 and 143,345.57

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Solution

The fourth proportional to 256,522.82, 353,998.96 and 143,345.57 is: 197,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,522.82 : 353,998.96 = 143,345.57 : x
  2. Step 2: Convert to fraction form
    256,522.82/353,998.96 = 143,345.57/x
  3. Step 3: Cross multiply
    256,522.82x = 353,998.96 × 143,345.57
  4. Step 4: Simplify right side
    256,522.82x = 50,744,180,572.25
  5. Step 5: Solve for x
    x = 50,744,180,572.25/256,522.82
  6. Step 6: Final answer
    x = 197,815.47

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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.