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Finding the Fourth Proportional to 242,989.24, 364,442.30 and 65,454.72

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Solution

The fourth proportional to 242,989.24, 364,442.30 and 65,454.72 is: 98,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,989.24 : 364,442.30 = 65,454.72 : x
  2. Step 2: Convert to fraction form
    242,989.24/364,442.30 = 65,454.72/x
  3. Step 3: Cross multiply
    242,989.24x = 364,442.30 × 65,454.72
  4. Step 4: Simplify right side
    242,989.24x = 23,854,469,672.35
  5. Step 5: Solve for x
    x = 23,854,469,672.35/242,989.24
  6. Step 6: Final answer
    x = 98,170.89

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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.