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Finding the Fourth Proportional to 256,209.38, 353,572.44 and 141,495.76

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Solution

The fourth proportional to 256,209.38, 353,572.44 and 141,495.76 is: 195,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209.38 : 353,572.44 = 141,495.76 : x
  2. Step 2: Convert to fraction form
    256,209.38/353,572.44 = 141,495.76/x
  3. Step 3: Cross multiply
    256,209.38x = 353,572.44 × 141,495.76
  4. Step 4: Simplify right side
    256,209.38x = 50,029,001,820.12
  5. Step 5: Solve for x
    x = 50,029,001,820.12/256,209.38
  6. Step 6: Final answer
    x = 195,266.08

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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.