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Finding the Fourth Proportional to 131,103.54, 196,684.50 and 37,602

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Solution

The fourth proportional to 131,103.54, 196,684.50 and 37,602 is: 56,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,103.54 : 196,684.50 = 37,602 : x
  2. Step 2: Convert to fraction form
    131,103.54/196,684.50 = 37,602/x
  3. Step 3: Cross multiply
    131,103.54x = 196,684.50 × 37,602
  4. Step 4: Simplify right side
    131,103.54x = 7,395,730,569
  5. Step 5: Solve for x
    x = 7,395,730,569/131,103.54
  6. Step 6: Final answer
    x = 56,411.37

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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.