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Finding the Fourth Proportional to 101,234.10, 151,851.15 and 45,830.10

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Solution

The fourth proportional to 101,234.10, 151,851.15 and 45,830.10 is: 68,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234.10 : 151,851.15 = 45,830.10 : x
  2. Step 2: Convert to fraction form
    101,234.10/151,851.15 = 45,830.10/x
  3. Step 3: Cross multiply
    101,234.10x = 151,851.15 × 45,830.10
  4. Step 4: Simplify right side
    101,234.10x = 6,959,353,389.62
  5. Step 5: Solve for x
    x = 6,959,353,389.62/101,234.10
  6. Step 6: Final answer
    x = 68,745.15

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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.