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Finding the Fourth Proportional to 282,408.72, 423,695.07 and 113,842.05

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Solution

The fourth proportional to 282,408.72, 423,695.07 and 113,842.05 is: 170,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,408.72 : 423,695.07 = 113,842.05 : x
  2. Step 2: Convert to fraction form
    282,408.72/423,695.07 = 113,842.05/x
  3. Step 3: Cross multiply
    282,408.72x = 423,695.07 × 113,842.05
  4. Step 4: Simplify right side
    282,408.72x = 48,234,315,343.69
  5. Step 5: Solve for x
    x = 48,234,315,343.69/282,408.72
  6. Step 6: Final answer
    x = 170,796.13

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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.