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Finding the Fourth Proportional to 381,088.77, 571,633.38 and 96,800.64

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Solution

The fourth proportional to 381,088.77, 571,633.38 and 96,800.64 is: 145,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,088.77 : 571,633.38 = 96,800.64 : x
  2. Step 2: Convert to fraction form
    381,088.77/571,633.38 = 96,800.64/x
  3. Step 3: Cross multiply
    381,088.77x = 571,633.38 × 96,800.64
  4. Step 4: Simplify right side
    381,088.77x = 55,334,477,029.36
  5. Step 5: Solve for x
    x = 55,334,477,029.36/381,088.77
  6. Step 6: Final answer
    x = 145,201.02

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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.