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Finding the Fourth Proportional to 275,678.70, 413,518.05 and 117,923.10

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Solution

The fourth proportional to 275,678.70, 413,518.05 and 117,923.10 is: 176,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,678.70 : 413,518.05 = 117,923.10 : x
  2. Step 2: Convert to fraction form
    275,678.70/413,518.05 = 117,923.10/x
  3. Step 3: Cross multiply
    275,678.70x = 413,518.05 × 117,923.10
  4. Step 4: Simplify right side
    275,678.70x = 48,763,330,361.96
  5. Step 5: Solve for x
    x = 48,763,330,361.96/275,678.70
  6. Step 6: Final answer
    x = 176,884.65

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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.