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Finding the Fourth Proportional to 305,377.67, 458,068.94 and 125,416.73

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Solution

The fourth proportional to 305,377.67, 458,068.94 and 125,416.73 is: 188,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,377.67 : 458,068.94 = 125,416.73 : x
  2. Step 2: Convert to fraction form
    305,377.67/458,068.94 = 125,416.73/x
  3. Step 3: Cross multiply
    305,377.67x = 458,068.94 × 125,416.73
  4. Step 4: Simplify right side
    305,377.67x = 57,449,510,028.08
  5. Step 5: Solve for x
    x = 57,449,510,028.08/305,377.67
  6. Step 6: Final answer
    x = 188,126.10

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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.