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Finding the Fourth Proportional to 462,137, 693,205.50 and 166,649

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Solution

The fourth proportional to 462,137, 693,205.50 and 166,649 is: 249,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,137 : 693,205.50 = 166,649 : x
  2. Step 2: Convert to fraction form
    462,137/693,205.50 = 166,649/x
  3. Step 3: Cross multiply
    462,137x = 693,205.50 × 166,649
  4. Step 4: Simplify right side
    462,137x = 115,522,003,369.50
  5. Step 5: Solve for x
    x = 115,522,003,369.50/462,137
  6. Step 6: Final answer
    x = 249,973.50

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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.