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Finding the Fourth Proportional to 312,732.92, 469,099.52 and 76,074.14

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Solution

The fourth proportional to 312,732.92, 469,099.52 and 76,074.14 is: 114,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,732.92 : 469,099.52 = 76,074.14 : x
  2. Step 2: Convert to fraction form
    312,732.92/469,099.52 = 76,074.14/x
  3. Step 3: Cross multiply
    312,732.92x = 469,099.52 × 76,074.14
  4. Step 4: Simplify right side
    312,732.92x = 35,686,342,178.04
  5. Step 5: Solve for x
    x = 35,686,342,178.04/312,732.92
  6. Step 6: Final answer
    x = 114,111.24

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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.