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Finding the Fourth Proportional to 207,313.92, 310,593.62 and 144,000.27

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Solution

The fourth proportional to 207,313.92, 310,593.62 and 144,000.27 is: 215,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,313.92 : 310,593.62 = 144,000.27 : x
  2. Step 2: Convert to fraction form
    207,313.92/310,593.62 = 144,000.27/x
  3. Step 3: Cross multiply
    207,313.92x = 310,593.62 × 144,000.27
  4. Step 4: Simplify right side
    207,313.92x = 44,725,565,500.28
  5. Step 5: Solve for x
    x = 44,725,565,500.28/207,313.92
  6. Step 6: Final answer
    x = 215,738.36

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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.