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Finding the Fourth Proportional to 209,246.16, 288,756.30 and 113,755.24

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Solution

The fourth proportional to 209,246.16, 288,756.30 and 113,755.24 is: 156,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,246.16 : 288,756.30 = 113,755.24 : x
  2. Step 2: Convert to fraction form
    209,246.16/288,756.30 = 113,755.24/x
  3. Step 3: Cross multiply
    209,246.16x = 288,756.30 × 113,755.24
  4. Step 4: Simplify right side
    209,246.16x = 32,847,542,208.01
  5. Step 5: Solve for x
    x = 32,847,542,208.01/209,246.16
  6. Step 6: Final answer
    x = 156,980.38

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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.