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Finding the Fourth Proportional to 167,609.84, 251,414.68 and 49,282.16

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Solution

The fourth proportional to 167,609.84, 251,414.68 and 49,282.16 is: 73,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,609.84 : 251,414.68 = 49,282.16 : x
  2. Step 2: Convert to fraction form
    167,609.84/251,414.68 = 49,282.16/x
  3. Step 3: Cross multiply
    167,609.84x = 251,414.68 × 49,282.16
  4. Step 4: Simplify right side
    167,609.84x = 12,390,258,486.11
  5. Step 5: Solve for x
    x = 12,390,258,486.11/167,609.84
  6. Step 6: Final answer
    x = 73,923.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.