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Finding the Fourth Proportional to 235,874.34, 353,745.81 and 78,115.10

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Solution

The fourth proportional to 235,874.34, 353,745.81 and 78,115.10 is: 117,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,874.34 : 353,745.81 = 78,115.10 : x
  2. Step 2: Convert to fraction form
    235,874.34/353,745.81 = 78,115.10/x
  3. Step 3: Cross multiply
    235,874.34x = 353,745.81 × 78,115.10
  4. Step 4: Simplify right side
    235,874.34x = 27,632,887,554.00
  5. Step 5: Solve for x
    x = 27,632,887,554.00/235,874.34
  6. Step 6: Final answer
    x = 117,150.88

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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.