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Finding the Fourth Proportional to 214,441.60, 295,923.70 and 123,794.50

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Solution

The fourth proportional to 214,441.60, 295,923.70 and 123,794.50 is: 170,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,441.60 : 295,923.70 = 123,794.50 : x
  2. Step 2: Convert to fraction form
    214,441.60/295,923.70 = 123,794.50/x
  3. Step 3: Cross multiply
    214,441.60x = 295,923.70 × 123,794.50
  4. Step 4: Simplify right side
    214,441.60x = 36,633,726,479.65
  5. Step 5: Solve for x
    x = 36,633,726,479.65/214,441.60
  6. Step 6: Final answer
    x = 170,833.11

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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.