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Finding the Fourth Proportional to 312,902.54, 469,398.56 and 96,777.93

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Solution

The fourth proportional to 312,902.54, 469,398.56 and 96,777.93 is: 145,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,902.54 : 469,398.56 = 96,777.93 : x
  2. Step 2: Convert to fraction form
    312,902.54/469,398.56 = 96,777.93/x
  3. Step 3: Cross multiply
    312,902.54x = 469,398.56 × 96,777.93
  4. Step 4: Simplify right side
    312,902.54x = 45,427,420,497.89
  5. Step 5: Solve for x
    x = 45,427,420,497.89/312,902.54
  6. Step 6: Final answer
    x = 145,180.74

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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.