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Finding the Fourth Proportional to 209,869.60, 314,842.80 and 85,223.20

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Solution

The fourth proportional to 209,869.60, 314,842.80 and 85,223.20 is: 127,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,869.60 : 314,842.80 = 85,223.20 : x
  2. Step 2: Convert to fraction form
    209,869.60/314,842.80 = 85,223.20/x
  3. Step 3: Cross multiply
    209,869.60x = 314,842.80 × 85,223.20
  4. Step 4: Simplify right side
    209,869.60x = 26,831,910,912.96
  5. Step 5: Solve for x
    x = 26,831,910,912.96/209,869.60
  6. Step 6: Final answer
    x = 127,850.39

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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.