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Finding the Fourth Proportional to 140,442.16, 210,620.39 and 73,846.16

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Solution

The fourth proportional to 140,442.16, 210,620.39 and 73,846.16 is: 110,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442.16 : 210,620.39 = 73,846.16 : x
  2. Step 2: Convert to fraction form
    140,442.16/210,620.39 = 73,846.16/x
  3. Step 3: Cross multiply
    140,442.16x = 210,620.39 × 73,846.16
  4. Step 4: Simplify right side
    140,442.16x = 15,553,505,966.10
  5. Step 5: Solve for x
    x = 15,553,505,966.10/140,442.16
  6. Step 6: Final answer
    x = 110,746.71

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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.