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Finding the Fourth Proportional to 253,553.14, 380,409.29 and 152,467.57

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Solution

The fourth proportional to 253,553.14, 380,409.29 and 152,467.57 is: 228,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,553.14 : 380,409.29 = 152,467.57 : x
  2. Step 2: Convert to fraction form
    253,553.14/380,409.29 = 152,467.57/x
  3. Step 3: Cross multiply
    253,553.14x = 380,409.29 × 152,467.57
  4. Step 4: Simplify right side
    253,553.14x = 58,000,080,051.73
  5. Step 5: Solve for x
    x = 58,000,080,051.73/253,553.14
  6. Step 6: Final answer
    x = 228,749.21

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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.