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Finding the Fourth Proportional to 242,694.31, 364,016.86 and 65,178.26

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Solution

The fourth proportional to 242,694.31, 364,016.86 and 65,178.26 is: 97,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.31 : 364,016.86 = 65,178.26 : x
  2. Step 2: Convert to fraction form
    242,694.31/364,016.86 = 65,178.26/x
  3. Step 3: Cross multiply
    242,694.31x = 364,016.86 × 65,178.26
  4. Step 4: Simplify right side
    242,694.31x = 23,725,983,562.43
  5. Step 5: Solve for x
    x = 23,725,983,562.43/242,694.31
  6. Step 6: Final answer
    x = 97,760.77

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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.