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Finding the Fourth Proportional to 259,914.88, 358,683.60 and 140,682.88

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Solution

The fourth proportional to 259,914.88, 358,683.60 and 140,682.88 is: 194,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,914.88 : 358,683.60 = 140,682.88 : x
  2. Step 2: Convert to fraction form
    259,914.88/358,683.60 = 140,682.88/x
  3. Step 3: Cross multiply
    259,914.88x = 358,683.60 × 140,682.88
  4. Step 4: Simplify right side
    259,914.88x = 50,460,641,856.77
  5. Step 5: Solve for x
    x = 50,460,641,856.77/259,914.88
  6. Step 6: Final answer
    x = 194,142.95

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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.