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Finding the Fourth Proportional to 209,793.64, 289,513.62 and 114,300.04

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Solution

The fourth proportional to 209,793.64, 289,513.62 and 114,300.04 is: 157,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.64 : 289,513.62 = 114,300.04 : x
  2. Step 2: Convert to fraction form
    209,793.64/289,513.62 = 114,300.04/x
  3. Step 3: Cross multiply
    209,793.64x = 289,513.62 × 114,300.04
  4. Step 4: Simplify right side
    209,793.64x = 33,091,418,346.54
  5. Step 5: Solve for x
    x = 33,091,418,346.54/209,793.64
  6. Step 6: Final answer
    x = 157,733.18

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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.