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Finding the Fourth Proportional to 208,648.44, 312,963.98 and 96,291.32

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Solution

The fourth proportional to 208,648.44, 312,963.98 and 96,291.32 is: 144,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648.44 : 312,963.98 = 96,291.32 : x
  2. Step 2: Convert to fraction form
    208,648.44/312,963.98 = 96,291.32/x
  3. Step 3: Cross multiply
    208,648.44x = 312,963.98 × 96,291.32
  4. Step 4: Simplify right side
    208,648.44x = 30,135,714,746.65
  5. Step 5: Solve for x
    x = 30,135,714,746.65/208,648.44
  6. Step 6: Final answer
    x = 144,432.97

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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.