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Finding the Fourth Proportional to 156,305.25, 234,496.76 and 45,497.25

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Solution

The fourth proportional to 156,305.25, 234,496.76 and 45,497.25 is: 68,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,305.25 : 234,496.76 = 45,497.25 : x
  2. Step 2: Convert to fraction form
    156,305.25/234,496.76 = 45,497.25/x
  3. Step 3: Cross multiply
    156,305.25x = 234,496.76 × 45,497.25
  4. Step 4: Simplify right side
    156,305.25x = 10,668,957,486.42
  5. Step 5: Solve for x
    x = 10,668,957,486.42/156,305.25
  6. Step 6: Final answer
    x = 68,257.19

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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.