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Finding the Fourth Proportional to 254,376.10, 381,618.12 and 96,601.06

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Solution

The fourth proportional to 254,376.10, 381,618.12 and 96,601.06 is: 144,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376.10 : 381,618.12 = 96,601.06 : x
  2. Step 2: Convert to fraction form
    254,376.10/381,618.12 = 96,601.06/x
  3. Step 3: Cross multiply
    254,376.10x = 381,618.12 × 96,601.06
  4. Step 4: Simplify right side
    254,376.10x = 36,864,714,907.21
  5. Step 5: Solve for x
    x = 36,864,714,907.21/254,376.10
  6. Step 6: Final answer
    x = 144,922.09

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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.