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Finding the Fourth Proportional to 253,904.96, 380,910.84 and 96,129.92

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Solution

The fourth proportional to 253,904.96, 380,910.84 and 96,129.92 is: 144,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,904.96 : 380,910.84 = 96,129.92 : x
  2. Step 2: Convert to fraction form
    253,904.96/380,910.84 = 96,129.92/x
  3. Step 3: Cross multiply
    253,904.96x = 380,910.84 × 96,129.92
  4. Step 4: Simplify right side
    253,904.96x = 36,616,928,576.33
  5. Step 5: Solve for x
    x = 36,616,928,576.33/253,904.96
  6. Step 6: Final answer
    x = 144,215.10

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1.5x scale

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.