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Finding the Fourth Proportional to 202,399.56, 279,279.90 and 117,501.84

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Solution

The fourth proportional to 202,399.56, 279,279.90 and 117,501.84 is: 162,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,399.56 : 279,279.90 = 117,501.84 : x
  2. Step 2: Convert to fraction form
    202,399.56/279,279.90 = 117,501.84/x
  3. Step 3: Cross multiply
    202,399.56x = 279,279.90 × 117,501.84
  4. Step 4: Simplify right side
    202,399.56x = 32,815,902,125.02
  5. Step 5: Solve for x
    x = 32,815,902,125.02/202,399.56
  6. Step 6: Final answer
    x = 162,134.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.