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Finding the Fourth Proportional to 312,059.94, 468,110.87 and 109,631.42

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Solution

The fourth proportional to 312,059.94, 468,110.87 and 109,631.42 is: 164,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,059.94 : 468,110.87 = 109,631.42 : x
  2. Step 2: Convert to fraction form
    312,059.94/468,110.87 = 109,631.42/x
  3. Step 3: Cross multiply
    312,059.94x = 468,110.87 × 109,631.42
  4. Step 4: Simplify right side
    312,059.94x = 51,319,661,614.82
  5. Step 5: Solve for x
    x = 51,319,661,614.82/312,059.94
  6. Step 6: Final answer
    x = 164,454.50

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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.