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Finding the Fourth Proportional to 254,355.66, 381,511.35 and 96,585.30

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Solution

The fourth proportional to 254,355.66, 381,511.35 and 96,585.30 is: 144,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,355.66 : 381,511.35 = 96,585.30 : x
  2. Step 2: Convert to fraction form
    254,355.66/381,511.35 = 96,585.30/x
  3. Step 3: Cross multiply
    254,355.66x = 381,511.35 × 96,585.30
  4. Step 4: Simplify right side
    254,355.66x = 36,848,388,193.16
  5. Step 5: Solve for x
    x = 36,848,388,193.16/254,355.66
  6. Step 6: Final answer
    x = 144,869.54

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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.