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Finding the Fourth Proportional to 256,139.26, 353,143.52 and 210,029

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Solution

The fourth proportional to 256,139.26, 353,143.52 and 210,029 is: 289,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,139.26 : 353,143.52 = 210,029 : x
  2. Step 2: Convert to fraction form
    256,139.26/353,143.52 = 210,029/x
  3. Step 3: Cross multiply
    256,139.26x = 353,143.52 × 210,029
  4. Step 4: Simplify right side
    256,139.26x = 74,170,380,362.08
  5. Step 5: Solve for x
    x = 74,170,380,362.08/256,139.26
  6. Step 6: Final answer
    x = 289,570.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.