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Finding the Fourth Proportional to 209,489.68, 289,102.28 and 118,849.46

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Solution

The fourth proportional to 209,489.68, 289,102.28 and 118,849.46 is: 164,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,489.68 : 289,102.28 = 118,849.46 : x
  2. Step 2: Convert to fraction form
    209,489.68/289,102.28 = 118,849.46/x
  3. Step 3: Cross multiply
    209,489.68x = 289,102.28 × 118,849.46
  4. Step 4: Simplify right side
    209,489.68x = 34,359,650,882.65
  5. Step 5: Solve for x
    x = 34,359,650,882.65/209,489.68
  6. Step 6: Final answer
    x = 164,015.96

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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.