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Finding the Fourth Proportional to 166,532.94, 249,772.05 and 71,737.41

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Solution

The fourth proportional to 166,532.94, 249,772.05 and 71,737.41 is: 107,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,532.94 : 249,772.05 = 71,737.41 : x
  2. Step 2: Convert to fraction form
    166,532.94/249,772.05 = 71,737.41/x
  3. Step 3: Cross multiply
    166,532.94x = 249,772.05 × 71,737.41
  4. Step 4: Simplify right side
    166,532.94x = 17,917,999,957.39
  5. Step 5: Solve for x
    x = 17,917,999,957.39/166,532.94
  6. Step 6: Final answer
    x = 107,594.33

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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.