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Finding the Fourth Proportional to 209,181.83, 288,673.16 and 113,688.53

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Solution

The fourth proportional to 209,181.83, 288,673.16 and 113,688.53 is: 156,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,181.83 : 288,673.16 = 113,688.53 : x
  2. Step 2: Convert to fraction form
    209,181.83/288,673.16 = 113,688.53/x
  3. Step 3: Cross multiply
    209,181.83x = 288,673.16 × 113,688.53
  4. Step 4: Simplify right side
    209,181.83x = 32,818,825,199.05
  5. Step 5: Solve for x
    x = 32,818,825,199.05/209,181.83
  6. Step 6: Final answer
    x = 156,891.38

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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.