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Finding the Fourth Proportional to 172,793.78, 259,225.90 and 97,947.34

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Solution

The fourth proportional to 172,793.78, 259,225.90 and 97,947.34 is: 146,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,793.78 : 259,225.90 = 97,947.34 : x
  2. Step 2: Convert to fraction form
    172,793.78/259,225.90 = 97,947.34/x
  3. Step 3: Cross multiply
    172,793.78x = 259,225.90 × 97,947.34
  4. Step 4: Simplify right side
    172,793.78x = 25,390,487,364.11
  5. Step 5: Solve for x
    x = 25,390,487,364.11/172,793.78
  6. Step 6: Final answer
    x = 146,940.98

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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.