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Finding the Fourth Proportional to 209,847.59, 289,589.71 and 114,354.28

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Solution

The fourth proportional to 209,847.59, 289,589.71 and 114,354.28 is: 157,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,847.59 : 289,589.71 = 114,354.28 : x
  2. Step 2: Convert to fraction form
    209,847.59/289,589.71 = 114,354.28/x
  3. Step 3: Cross multiply
    209,847.59x = 289,589.71 × 114,354.28
  4. Step 4: Simplify right side
    209,847.59x = 33,115,822,751.35
  5. Step 5: Solve for x
    x = 33,115,822,751.35/209,847.59
  6. Step 6: Final answer
    x = 157,808.93

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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.