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Finding the Fourth Proportional to 242,326.26, 363,548.10 and 76,114.26

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Solution

The fourth proportional to 242,326.26, 363,548.10 and 76,114.26 is: 114,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,326.26 : 363,548.10 = 76,114.26 : x
  2. Step 2: Convert to fraction form
    242,326.26/363,548.10 = 76,114.26/x
  3. Step 3: Cross multiply
    242,326.26x = 363,548.10 × 76,114.26
  4. Step 4: Simplify right side
    242,326.26x = 27,671,194,605.91
  5. Step 5: Solve for x
    x = 27,671,194,605.91/242,326.26
  6. Step 6: Final answer
    x = 114,189.83

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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.