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Finding the Fourth Proportional to 202,464.64, 303,698.04 and 132,785.20

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Solution

The fourth proportional to 202,464.64, 303,698.04 and 132,785.20 is: 199,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464.64 : 303,698.04 = 132,785.20 : x
  2. Step 2: Convert to fraction form
    202,464.64/303,698.04 = 132,785.20/x
  3. Step 3: Cross multiply
    202,464.64x = 303,698.04 × 132,785.20
  4. Step 4: Simplify right side
    202,464.64x = 40,326,604,981.01
  5. Step 5: Solve for x
    x = 40,326,604,981.01/202,464.64
  6. Step 6: Final answer
    x = 199,178.51

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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.