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Finding the Fourth Proportional to 132,413, 198,556.98 and 48,113.68

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Solution

The fourth proportional to 132,413, 198,556.98 and 48,113.68 is: 72,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413 : 198,556.98 = 48,113.68 : x
  2. Step 2: Convert to fraction form
    132,413/198,556.98 = 48,113.68/x
  3. Step 3: Cross multiply
    132,413x = 198,556.98 × 48,113.68
  4. Step 4: Simplify right side
    132,413x = 9,553,306,997.49
  5. Step 5: Solve for x
    x = 9,553,306,997.49/132,413
  6. Step 6: Final answer
    x = 72,147.80

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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.