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Finding the Fourth Proportional to 166,872, 230,283.36 and 99,804

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Solution

The fourth proportional to 166,872, 230,283.36 and 99,804 is: 137,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,872 : 230,283.36 = 99,804 : x
  2. Step 2: Convert to fraction form
    166,872/230,283.36 = 99,804/x
  3. Step 3: Cross multiply
    166,872x = 230,283.36 × 99,804
  4. Step 4: Simplify right side
    166,872x = 22,983,200,461.44
  5. Step 5: Solve for x
    x = 22,983,200,461.44/166,872
  6. Step 6: Final answer
    x = 137,729.52

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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.