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Finding the Fourth Proportional to 213,429.35, 320,199.38 and 113,507.38

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Solution

The fourth proportional to 213,429.35, 320,199.38 and 113,507.38 is: 170,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,429.35 : 320,199.38 = 113,507.38 : x
  2. Step 2: Convert to fraction form
    213,429.35/320,199.38 = 113,507.38/x
  3. Step 3: Cross multiply
    213,429.35x = 320,199.38 × 113,507.38
  4. Step 4: Simplify right side
    213,429.35x = 36,344,991,158.67
  5. Step 5: Solve for x
    x = 36,344,991,158.67/213,429.35
  6. Step 6: Final answer
    x = 170,290.50

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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.