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Finding the Fourth Proportional to 111,363.63, 166,966.08 and 52,167

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Solution

The fourth proportional to 111,363.63, 166,966.08 and 52,167 is: 78,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,363.63 : 166,966.08 = 52,167 : x
  2. Step 2: Convert to fraction form
    111,363.63/166,966.08 = 52,167/x
  3. Step 3: Cross multiply
    111,363.63x = 166,966.08 × 52,167
  4. Step 4: Simplify right side
    111,363.63x = 8,710,119,495.36
  5. Step 5: Solve for x
    x = 8,710,119,495.36/111,363.63
  6. Step 6: Final answer
    x = 78,213.32

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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.