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Finding the Fourth Proportional to 120,592, 166,416.96 and 67,600

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Solution

The fourth proportional to 120,592, 166,416.96 and 67,600 is: 93,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592 : 166,416.96 = 67,600 : x
  2. Step 2: Convert to fraction form
    120,592/166,416.96 = 67,600/x
  3. Step 3: Cross multiply
    120,592x = 166,416.96 × 67,600
  4. Step 4: Simplify right side
    120,592x = 11,249,786,496
  5. Step 5: Solve for x
    x = 11,249,786,496/120,592
  6. Step 6: Final answer
    x = 93,288

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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.