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Finding the Fourth Proportional to 256,511.40, 353,983.59 and 141,797.58

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Solution

The fourth proportional to 256,511.40, 353,983.59 and 141,797.58 is: 195,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,511.40 : 353,983.59 = 141,797.58 : x
  2. Step 2: Convert to fraction form
    256,511.40/353,983.59 = 141,797.58/x
  3. Step 3: Cross multiply
    256,511.40x = 353,983.59 × 141,797.58
  4. Step 4: Simplify right side
    256,511.40x = 50,194,016,421.71
  5. Step 5: Solve for x
    x = 50,194,016,421.71/256,511.40
  6. Step 6: Final answer
    x = 195,679.48

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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.