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Finding the Fourth Proportional to 208,649.44, 312,965.48 and 96,292.32

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Solution

The fourth proportional to 208,649.44, 312,965.48 and 96,292.32 is: 144,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,649.44 : 312,965.48 = 96,292.32 : x
  2. Step 2: Convert to fraction form
    208,649.44/312,965.48 = 96,292.32/x
  3. Step 3: Cross multiply
    208,649.44x = 312,965.48 × 96,292.32
  4. Step 4: Simplify right side
    208,649.44x = 30,136,172,149.11
  5. Step 5: Solve for x
    x = 30,136,172,149.11/208,649.44
  6. Step 6: Final answer
    x = 144,434.47

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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.