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Finding the Fourth Proportional to 242,864.57, 364,296.83 and 65,366.96

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Solution

The fourth proportional to 242,864.57, 364,296.83 and 65,366.96 is: 98,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,864.57 : 364,296.83 = 65,366.96 : x
  2. Step 2: Convert to fraction form
    242,864.57/364,296.83 = 65,366.96/x
  3. Step 3: Cross multiply
    242,864.57x = 364,296.83 × 65,366.96
  4. Step 4: Simplify right side
    242,864.57x = 23,812,974,166.42
  5. Step 5: Solve for x
    x = 23,812,974,166.42/242,864.57
  6. Step 6: Final answer
    x = 98,050.43

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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.