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Finding the Fourth Proportional to 162,057.78, 243,112.65 and 68,564.34

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Solution

The fourth proportional to 162,057.78, 243,112.65 and 68,564.34 is: 102,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,057.78 : 243,112.65 = 68,564.34 : x
  2. Step 2: Convert to fraction form
    162,057.78/243,112.65 = 68,564.34/x
  3. Step 3: Cross multiply
    162,057.78x = 243,112.65 × 68,564.34
  4. Step 4: Simplify right side
    162,057.78x = 16,668,858,392.90
  5. Step 5: Solve for x
    x = 16,668,858,392.90/162,057.78
  6. Step 6: Final answer
    x = 102,857.50

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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.