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Finding the Fourth Proportional to 242,269.34, 363,461.52 and 76,057.34

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Solution

The fourth proportional to 242,269.34, 363,461.52 and 76,057.34 is: 114,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,269.34 : 363,461.52 = 76,057.34 : x
  2. Step 2: Convert to fraction form
    242,269.34/363,461.52 = 76,057.34/x
  3. Step 3: Cross multiply
    242,269.34x = 363,461.52 × 76,057.34
  4. Step 4: Simplify right side
    242,269.34x = 27,643,916,403.56
  5. Step 5: Solve for x
    x = 27,643,916,403.56/242,269.34
  6. Step 6: Final answer
    x = 114,104.06

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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.