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Finding the Fourth Proportional to 312,100.80, 468,040.44 and 112,367.52

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Solution

The fourth proportional to 312,100.80, 468,040.44 and 112,367.52 is: 168,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,100.80 : 468,040.44 = 112,367.52 : x
  2. Step 2: Convert to fraction form
    312,100.80/468,040.44 = 112,367.52/x
  3. Step 3: Cross multiply
    312,100.80x = 468,040.44 × 112,367.52
  4. Step 4: Simplify right side
    312,100.80x = 52,592,543,502.51
  5. Step 5: Solve for x
    x = 52,592,543,502.51/312,100.80
  6. Step 6: Final answer
    x = 168,511.40

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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.