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Finding the Fourth Proportional to 166,967.96, 230,381.72 and 98,955

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Solution

The fourth proportional to 166,967.96, 230,381.72 and 98,955 is: 136,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,967.96 : 230,381.72 = 98,955 : x
  2. Step 2: Convert to fraction form
    166,967.96/230,381.72 = 98,955/x
  3. Step 3: Cross multiply
    166,967.96x = 230,381.72 × 98,955
  4. Step 4: Simplify right side
    166,967.96x = 22,797,423,102.60
  5. Step 5: Solve for x
    x = 22,797,423,102.60/166,967.96
  6. Step 6: Final answer
    x = 136,537.71

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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.