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Finding the Fourth Proportional to 120,588, 166,411.44 and 67,596

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Solution

The fourth proportional to 120,588, 166,411.44 and 67,596 is: 93,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,588 : 166,411.44 = 67,596 : x
  2. Step 2: Convert to fraction form
    120,588/166,411.44 = 67,596/x
  3. Step 3: Cross multiply
    120,588x = 166,411.44 × 67,596
  4. Step 4: Simplify right side
    120,588x = 11,248,747,698.24
  5. Step 5: Solve for x
    x = 11,248,747,698.24/120,588
  6. Step 6: Final answer
    x = 93,282.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.