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Finding the Fourth Proportional to 178,164.56, 245,871.05 and 101,682.14

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Solution

The fourth proportional to 178,164.56, 245,871.05 and 101,682.14 is: 140,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.56 : 245,871.05 = 101,682.14 : x
  2. Step 2: Convert to fraction form
    178,164.56/245,871.05 = 101,682.14/x
  3. Step 3: Cross multiply
    178,164.56x = 245,871.05 × 101,682.14
  4. Step 4: Simplify right side
    178,164.56x = 25,000,692,790.28
  5. Step 5: Solve for x
    x = 25,000,692,790.28/178,164.56
  6. Step 6: Final answer
    x = 140,323.61

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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.