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Finding the Fourth Proportional to 167,359.03, 230,888.68 and 106,914

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Solution

The fourth proportional to 167,359.03, 230,888.68 and 106,914 is: 147,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,359.03 : 230,888.68 = 106,914 : x
  2. Step 2: Convert to fraction form
    167,359.03/230,888.68 = 106,914/x
  3. Step 3: Cross multiply
    167,359.03x = 230,888.68 × 106,914
  4. Step 4: Simplify right side
    167,359.03x = 24,685,232,333.52
  5. Step 5: Solve for x
    x = 24,685,232,333.52/167,359.03
  6. Step 6: Final answer
    x = 147,498.66

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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.