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Finding the Fourth Proportional to 132,506.48, 198,788.88 and 57,638.36

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Solution

The fourth proportional to 132,506.48, 198,788.88 and 57,638.36 is: 86,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,506.48 : 198,788.88 = 57,638.36 : x
  2. Step 2: Convert to fraction form
    132,506.48/198,788.88 = 57,638.36/x
  3. Step 3: Cross multiply
    132,506.48x = 198,788.88 × 57,638.36
  4. Step 4: Simplify right side
    132,506.48x = 11,457,865,029.44
  5. Step 5: Solve for x
    x = 11,457,865,029.44/132,506.48
  6. Step 6: Final answer
    x = 86,470.22

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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.