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Finding the Fourth Proportional to 253,837.18, 380,706.54 and 96,077.94

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Solution

The fourth proportional to 253,837.18, 380,706.54 and 96,077.94 is: 144,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,837.18 : 380,706.54 = 96,077.94 : x
  2. Step 2: Convert to fraction form
    253,837.18/380,706.54 = 96,077.94/x
  3. Step 3: Cross multiply
    253,837.18x = 380,706.54 × 96,077.94
  4. Step 4: Simplify right side
    253,837.18x = 36,577,500,107.73
  5. Step 5: Solve for x
    x = 36,577,500,107.73/253,837.18
  6. Step 6: Final answer
    x = 144,098.28

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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.