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Finding the Fourth Proportional to 209,544.38, 289,177.42 and 148,399.96

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Solution

The fourth proportional to 209,544.38, 289,177.42 and 148,399.96 is: 204,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,544.38 : 289,177.42 = 148,399.96 : x
  2. Step 2: Convert to fraction form
    209,544.38/289,177.42 = 148,399.96/x
  3. Step 3: Cross multiply
    209,544.38x = 289,177.42 × 148,399.96
  4. Step 4: Simplify right side
    209,544.38x = 42,913,917,541.85
  5. Step 5: Solve for x
    x = 42,913,917,541.85/209,544.38
  6. Step 6: Final answer
    x = 204,796.32

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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.