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Finding the Fourth Proportional to 155,200, 214,176 and 84,544

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Solution

The fourth proportional to 155,200, 214,176 and 84,544 is: 116,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,200 : 214,176 = 84,544 : x
  2. Step 2: Convert to fraction form
    155,200/214,176 = 84,544/x
  3. Step 3: Cross multiply
    155,200x = 214,176 × 84,544
  4. Step 4: Simplify right side
    155,200x = 18,107,295,744
  5. Step 5: Solve for x
    x = 18,107,295,744/155,200
  6. Step 6: Final answer
    x = 116,670.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.