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Finding the Fourth Proportional to 167,541.84, 250,952.04 and 78,662.16

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Solution

The fourth proportional to 167,541.84, 250,952.04 and 78,662.16 is: 117,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,541.84 : 250,952.04 = 78,662.16 : x
  2. Step 2: Convert to fraction form
    167,541.84/250,952.04 = 78,662.16/x
  3. Step 3: Cross multiply
    167,541.84x = 250,952.04 × 78,662.16
  4. Step 4: Simplify right side
    167,541.84x = 19,740,429,522.81
  5. Step 5: Solve for x
    x = 19,740,429,522.81/167,541.84
  6. Step 6: Final answer
    x = 117,823.88

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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.