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Finding the Fourth Proportional to 208,543.46, 312,893.49 and 96,277.46

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Solution

The fourth proportional to 208,543.46, 312,893.49 and 96,277.46 is: 144,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.46 : 312,893.49 = 96,277.46 : x
  2. Step 2: Convert to fraction form
    208,543.46/312,893.49 = 96,277.46/x
  3. Step 3: Cross multiply
    208,543.46x = 312,893.49 × 96,277.46
  4. Step 4: Simplify right side
    208,543.46x = 30,124,590,467.74
  5. Step 5: Solve for x
    x = 30,124,590,467.74/208,543.46
  6. Step 6: Final answer
    x = 144,452.34

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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.