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Finding the Fourth Proportional to 242,993.29, 364,515.90 and 102,766.09

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Solution

The fourth proportional to 242,993.29, 364,515.90 and 102,766.09 is: 154,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.29 : 364,515.90 = 102,766.09 : x
  2. Step 2: Convert to fraction form
    242,993.29/364,515.90 = 102,766.09/x
  3. Step 3: Cross multiply
    242,993.29x = 364,515.90 × 102,766.09
  4. Step 4: Simplify right side
    242,993.29x = 37,459,873,272.00
  5. Step 5: Solve for x
    x = 37,459,873,272.00/242,993.29
  6. Step 6: Final answer
    x = 154,160.11

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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.