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Finding the Fourth Proportional to 242,694.56, 364,017.23 and 65,178.50

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Solution

The fourth proportional to 242,694.56, 364,017.23 and 65,178.50 is: 97,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.56 : 364,017.23 = 65,178.50 : x
  2. Step 2: Convert to fraction form
    242,694.56/364,017.23 = 65,178.50/x
  3. Step 3: Cross multiply
    242,694.56x = 364,017.23 × 65,178.50
  4. Step 4: Simplify right side
    242,694.56x = 23,726,097,025.56
  5. Step 5: Solve for x
    x = 23,726,097,025.56/242,694.56
  6. Step 6: Final answer
    x = 97,761.14

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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.