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Finding the Fourth Proportional to 209,090.89, 288,481.85 and 118,432.45

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Solution

The fourth proportional to 209,090.89, 288,481.85 and 118,432.45 is: 163,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,090.89 : 288,481.85 = 118,432.45 : x
  2. Step 2: Convert to fraction form
    209,090.89/288,481.85 = 118,432.45/x
  3. Step 3: Cross multiply
    209,090.89x = 288,481.85 × 118,432.45
  4. Step 4: Simplify right side
    209,090.89x = 34,165,611,129.70
  5. Step 5: Solve for x
    x = 34,165,611,129.70/209,090.89
  6. Step 6: Final answer
    x = 163,400.77

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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.