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Finding the Fourth Proportional to 179,409.80, 269,114.70 and 137,419.40

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Solution

The fourth proportional to 179,409.80, 269,114.70 and 137,419.40 is: 206,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,409.80 : 269,114.70 = 137,419.40 : x
  2. Step 2: Convert to fraction form
    179,409.80/269,114.70 = 137,419.40/x
  3. Step 3: Cross multiply
    179,409.80x = 269,114.70 × 137,419.40
  4. Step 4: Simplify right side
    179,409.80x = 36,981,580,605.18
  5. Step 5: Solve for x
    x = 36,981,580,605.18/179,409.80
  6. Step 6: Final answer
    x = 206,129.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.