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Finding the Fourth Proportional to 209,995.43, 289,793.97 and 114,502.11

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Solution

The fourth proportional to 209,995.43, 289,793.97 and 114,502.11 is: 158,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,995.43 : 289,793.97 = 114,502.11 : x
  2. Step 2: Convert to fraction form
    209,995.43/289,793.97 = 114,502.11/x
  3. Step 3: Cross multiply
    209,995.43x = 289,793.97 × 114,502.11
  4. Step 4: Simplify right side
    209,995.43x = 33,182,021,030.28
  5. Step 5: Solve for x
    x = 33,182,021,030.28/209,995.43
  6. Step 6: Final answer
    x = 158,013.07

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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.