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Finding the Fourth Proportional to 209,858.60, 314,826.30 and 85,212.20

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Solution

The fourth proportional to 209,858.60, 314,826.30 and 85,212.20 is: 127,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.60 : 314,826.30 = 85,212.20 : x
  2. Step 2: Convert to fraction form
    209,858.60/314,826.30 = 85,212.20/x
  3. Step 3: Cross multiply
    209,858.60x = 314,826.30 × 85,212.20
  4. Step 4: Simplify right side
    209,858.60x = 26,827,041,640.86
  5. Step 5: Solve for x
    x = 26,827,041,640.86/209,858.60
  6. Step 6: Final answer
    x = 127,833.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.