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Finding the Fourth Proportional to 166,689, 230,029.06 and 90,206.44

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Solution

The fourth proportional to 166,689, 230,029.06 and 90,206.44 is: 124,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,689 : 230,029.06 = 90,206.44 : x
  2. Step 2: Convert to fraction form
    166,689/230,029.06 = 90,206.44/x
  3. Step 3: Cross multiply
    166,689x = 230,029.06 × 90,206.44
  4. Step 4: Simplify right side
    166,689x = 20,750,102,599.15
  5. Step 5: Solve for x
    x = 20,750,102,599.15/166,689
  6. Step 6: Final answer
    x = 124,483.93

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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.