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Finding the Fourth Proportional to 132,474.54, 198,714.09 and 37,707.16

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Solution

The fourth proportional to 132,474.54, 198,714.09 and 37,707.16 is: 56,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,474.54 : 198,714.09 = 37,707.16 : x
  2. Step 2: Convert to fraction form
    132,474.54/198,714.09 = 37,707.16/x
  3. Step 3: Cross multiply
    132,474.54x = 198,714.09 × 37,707.16
  4. Step 4: Simplify right side
    132,474.54x = 7,492,943,985.88
  5. Step 5: Solve for x
    x = 7,492,943,985.88/132,474.54
  6. Step 6: Final answer
    x = 56,561.39

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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.