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Finding the Fourth Proportional to 242,849.68, 364,187.04 and 102,619.24

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Solution

The fourth proportional to 242,849.68, 364,187.04 and 102,619.24 is: 153,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,849.68 : 364,187.04 = 102,619.24 : x
  2. Step 2: Convert to fraction form
    242,849.68/364,187.04 = 102,619.24/x
  3. Step 3: Cross multiply
    242,849.68x = 364,187.04 × 102,619.24
  4. Step 4: Simplify right side
    242,849.68x = 37,372,597,262.65
  5. Step 5: Solve for x
    x = 37,372,597,262.65/242,849.68
  6. Step 6: Final answer
    x = 153,891.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.