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Finding the Fourth Proportional to 125,185.84, 187,777 and 30,416.72

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Solution

The fourth proportional to 125,185.84, 187,777 and 30,416.72 is: 45,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,185.84 : 187,777 = 30,416.72 : x
  2. Step 2: Convert to fraction form
    125,185.84/187,777 = 30,416.72/x
  3. Step 3: Cross multiply
    125,185.84x = 187,777 × 30,416.72
  4. Step 4: Simplify right side
    125,185.84x = 5,711,560,431.44
  5. Step 5: Solve for x
    x = 5,711,560,431.44/125,185.84
  6. Step 6: Final answer
    x = 45,624.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.