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Finding the Fourth Proportional to 243,343.24, 335,810.12 and 135,914.76

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Solution

The fourth proportional to 243,343.24, 335,810.12 and 135,914.76 is: 187,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,343.24 : 335,810.12 = 135,914.76 : x
  2. Step 2: Convert to fraction form
    243,343.24/335,810.12 = 135,914.76/x
  3. Step 3: Cross multiply
    243,343.24x = 335,810.12 × 135,914.76
  4. Step 4: Simplify right side
    243,343.24x = 45,641,551,865.37
  5. Step 5: Solve for x
    x = 45,641,551,865.37/243,343.24
  6. Step 6: Final answer
    x = 187,560.39

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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.