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Finding the Fourth Proportional to 312,093.49, 468,029.52 and 112,360.24

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Solution

The fourth proportional to 312,093.49, 468,029.52 and 112,360.24 is: 168,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,093.49 : 468,029.52 = 112,360.24 : x
  2. Step 2: Convert to fraction form
    312,093.49/468,029.52 = 112,360.24/x
  3. Step 3: Cross multiply
    312,093.49x = 468,029.52 × 112,360.24
  4. Step 4: Simplify right side
    312,093.49x = 52,587,909,194.28
  5. Step 5: Solve for x
    x = 52,587,909,194.28/312,093.49
  6. Step 6: Final answer
    x = 168,500.50

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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.