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Finding the Fourth Proportional to 275,677.40, 413,516.10 and 109,465.40

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Solution

The fourth proportional to 275,677.40, 413,516.10 and 109,465.40 is: 164,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,677.40 : 413,516.10 = 109,465.40 : x
  2. Step 2: Convert to fraction form
    275,677.40/413,516.10 = 109,465.40/x
  3. Step 3: Cross multiply
    275,677.40x = 413,516.10 × 109,465.40
  4. Step 4: Simplify right side
    275,677.40x = 45,265,705,292.94
  5. Step 5: Solve for x
    x = 45,265,705,292.94/275,677.40
  6. Step 6: Final answer
    x = 164,198.10

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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.