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Finding the Fourth Proportional to 242,471, 334,620.34 and 135,041

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Solution

The fourth proportional to 242,471, 334,620.34 and 135,041 is: 186,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,471 : 334,620.34 = 135,041 : x
  2. Step 2: Convert to fraction form
    242,471/334,620.34 = 135,041/x
  3. Step 3: Cross multiply
    242,471x = 334,620.34 × 135,041
  4. Step 4: Simplify right side
    242,471x = 45,187,465,333.94
  5. Step 5: Solve for x
    x = 45,187,465,333.94/242,471
  6. Step 6: Final answer
    x = 186,362.35

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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.