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Finding the Fourth Proportional to 119,202.32, 164,459.09 and 67,512.38

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Solution

The fourth proportional to 119,202.32, 164,459.09 and 67,512.38 is: 93,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,202.32 : 164,459.09 = 67,512.38 : x
  2. Step 2: Convert to fraction form
    119,202.32/164,459.09 = 67,512.38/x
  3. Step 3: Cross multiply
    119,202.32x = 164,459.09 × 67,512.38
  4. Step 4: Simplify right side
    119,202.32x = 11,103,023,756.24
  5. Step 5: Solve for x
    x = 11,103,023,756.24/119,202.32
  6. Step 6: Final answer
    x = 93,144.36

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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.