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Finding the Fourth Proportional to 256,317.82, 353,717.45 and 141,596.51

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Solution

The fourth proportional to 256,317.82, 353,717.45 and 141,596.51 is: 195,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,317.82 : 353,717.45 = 141,596.51 : x
  2. Step 2: Convert to fraction form
    256,317.82/353,717.45 = 141,596.51/x
  3. Step 3: Cross multiply
    256,317.82x = 353,717.45 × 141,596.51
  4. Step 4: Simplify right side
    256,317.82x = 50,085,157,684.38
  5. Step 5: Solve for x
    x = 50,085,157,684.38/256,317.82
  6. Step 6: Final answer
    x = 195,402.56

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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.