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Finding the Fourth Proportional to 178,434.16, 246,216.38 and 101,958.21

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Solution

The fourth proportional to 178,434.16, 246,216.38 and 101,958.21 is: 140,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434.16 : 246,216.38 = 101,958.21 : x
  2. Step 2: Convert to fraction form
    178,434.16/246,216.38 = 101,958.21/x
  3. Step 3: Cross multiply
    178,434.16x = 246,216.38 × 101,958.21
  4. Step 4: Simplify right side
    178,434.16x = 25,103,780,867.69
  5. Step 5: Solve for x
    x = 25,103,780,867.69/178,434.16
  6. Step 6: Final answer
    x = 140,689.32

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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.