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Finding the Fourth Proportional to 242,834.24, 364,223.34 and 65,327.30

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Solution

The fourth proportional to 242,834.24, 364,223.34 and 65,327.30 is: 97,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,834.24 : 364,223.34 = 65,327.30 : x
  2. Step 2: Convert to fraction form
    242,834.24/364,223.34 = 65,327.30/x
  3. Step 3: Cross multiply
    242,834.24x = 364,223.34 × 65,327.30
  4. Step 4: Simplify right side
    242,834.24x = 23,793,727,399.18
  5. Step 5: Solve for x
    x = 23,793,727,399.18/242,834.24
  6. Step 6: Final answer
    x = 97,983.41

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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.