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Finding the Fourth Proportional to 202,500.50, 279,465.96 and 116,485.78

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Solution

The fourth proportional to 202,500.50, 279,465.96 and 116,485.78 is: 160,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,500.50 : 279,465.96 = 116,485.78 : x
  2. Step 2: Convert to fraction form
    202,500.50/279,465.96 = 116,485.78/x
  3. Step 3: Cross multiply
    202,500.50x = 279,465.96 × 116,485.78
  4. Step 4: Simplify right side
    202,500.50x = 32,553,810,334.05
  5. Step 5: Solve for x
    x = 32,553,810,334.05/202,500.50
  6. Step 6: Final answer
    x = 160,759.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.