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Finding the Fourth Proportional to 242,984.63, 364,435.40 and 65,450.12

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Solution

The fourth proportional to 242,984.63, 364,435.40 and 65,450.12 is: 98,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,984.63 : 364,435.40 = 65,450.12 : x
  2. Step 2: Convert to fraction form
    242,984.63/364,435.40 = 65,450.12/x
  3. Step 3: Cross multiply
    242,984.63x = 364,435.40 × 65,450.12
  4. Step 4: Simplify right side
    242,984.63x = 23,852,339,003.70
  5. Step 5: Solve for x
    x = 23,852,339,003.70/242,984.63
  6. Step 6: Final answer
    x = 98,163.98

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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.