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Finding the Fourth Proportional to 209,984.20, 289,779.56 and 114,492.49

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Solution

The fourth proportional to 209,984.20, 289,779.56 and 114,492.49 is: 158,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.20 : 289,779.56 = 114,492.49 : x
  2. Step 2: Convert to fraction form
    209,984.20/289,779.56 = 114,492.49/x
  3. Step 3: Cross multiply
    209,984.20x = 289,779.56 × 114,492.49
  4. Step 4: Simplify right side
    209,984.20x = 33,177,583,375.50
  5. Step 5: Solve for x
    x = 33,177,583,375.50/209,984.20
  6. Step 6: Final answer
    x = 158,000.38

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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.