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Finding the Fourth Proportional to 119,154.87, 178,732.22 and 30,408.40

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Solution

The fourth proportional to 119,154.87, 178,732.22 and 30,408.40 is: 45,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,154.87 : 178,732.22 = 30,408.40 : x
  2. Step 2: Convert to fraction form
    119,154.87/178,732.22 = 30,408.40/x
  3. Step 3: Cross multiply
    119,154.87x = 178,732.22 × 30,408.40
  4. Step 4: Simplify right side
    119,154.87x = 5,434,960,838.65
  5. Step 5: Solve for x
    x = 5,434,960,838.65/119,154.87
  6. Step 6: Final answer
    x = 45,612.58

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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.