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Finding the Fourth Proportional to 152,356.67, 228,075.73 and 82,022.75

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Solution

The fourth proportional to 152,356.67, 228,075.73 and 82,022.75 is: 122,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,356.67 : 228,075.73 = 82,022.75 : x
  2. Step 2: Convert to fraction form
    152,356.67/228,075.73 = 82,022.75/x
  3. Step 3: Cross multiply
    152,356.67x = 228,075.73 × 82,022.75
  4. Step 4: Simplify right side
    152,356.67x = 18,707,398,582.86
  5. Step 5: Solve for x
    x = 18,707,398,582.86/152,356.67
  6. Step 6: Final answer
    x = 122,786.87

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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.