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Finding the Fourth Proportional to 256,368.83, 353,786.91 and 141,647.12

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Solution

The fourth proportional to 256,368.83, 353,786.91 and 141,647.12 is: 195,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,368.83 : 353,786.91 = 141,647.12 : x
  2. Step 2: Convert to fraction form
    256,368.83/353,786.91 = 141,647.12/x
  3. Step 3: Cross multiply
    256,368.83x = 353,786.91 × 141,647.12
  4. Step 4: Simplify right side
    256,368.83x = 50,112,895,126.26
  5. Step 5: Solve for x
    x = 50,112,895,126.26/256,368.83
  6. Step 6: Final answer
    x = 195,471.87

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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.