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Finding the Fourth Proportional to 260,125.92, 358,867.53 and 206,194.50

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Solution

The fourth proportional to 260,125.92, 358,867.53 and 206,194.50 is: 284,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,125.92 : 358,867.53 = 206,194.50 : x
  2. Step 2: Convert to fraction form
    260,125.92/358,867.53 = 206,194.50/x
  3. Step 3: Cross multiply
    260,125.92x = 358,867.53 × 206,194.50
  4. Step 4: Simplify right side
    260,125.92x = 73,996,510,914.59
  5. Step 5: Solve for x
    x = 73,996,510,914.59/260,125.92
  6. Step 6: Final answer
    x = 284,464.20

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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.