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Finding the Fourth Proportional to 132,462.63, 198,569.70 and 48,201.77

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Solution

The fourth proportional to 132,462.63, 198,569.70 and 48,201.77 is: 72,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,462.63 : 198,569.70 = 48,201.77 : x
  2. Step 2: Convert to fraction form
    132,462.63/198,569.70 = 48,201.77/x
  3. Step 3: Cross multiply
    132,462.63x = 198,569.70 × 48,201.77
  4. Step 4: Simplify right side
    132,462.63x = 9,571,411,008.37
  5. Step 5: Solve for x
    x = 9,571,411,008.37/132,462.63
  6. Step 6: Final answer
    x = 72,257.44

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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.