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Finding the Fourth Proportional to 202,535.64, 303,827.76 and 69,439.68

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Solution

The fourth proportional to 202,535.64, 303,827.76 and 69,439.68 is: 104,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,535.64 : 303,827.76 = 69,439.68 : x
  2. Step 2: Convert to fraction form
    202,535.64/303,827.76 = 69,439.68/x
  3. Step 3: Cross multiply
    202,535.64x = 303,827.76 × 69,439.68
  4. Step 4: Simplify right side
    202,535.64x = 21,097,702,429.52
  5. Step 5: Solve for x
    x = 21,097,702,429.52/202,535.64
  6. Step 6: Final answer
    x = 104,167.85

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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.