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Finding the Fourth Proportional to 137,510.16, 206,265.42 and 37,671.22

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Solution

The fourth proportional to 137,510.16, 206,265.42 and 37,671.22 is: 56,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,510.16 : 206,265.42 = 37,671.22 : x
  2. Step 2: Convert to fraction form
    137,510.16/206,265.42 = 37,671.22/x
  3. Step 3: Cross multiply
    137,510.16x = 206,265.42 × 37,671.22
  4. Step 4: Simplify right side
    137,510.16x = 7,770,270,015.21
  5. Step 5: Solve for x
    x = 7,770,270,015.21/137,510.16
  6. Step 6: Final answer
    x = 56,506.88

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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.