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Finding the Fourth Proportional to 202,765.64, 304,165.76 and 53,005.69

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Solution

The fourth proportional to 202,765.64, 304,165.76 and 53,005.69 is: 79,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765.64 : 304,165.76 = 53,005.69 : x
  2. Step 2: Convert to fraction form
    202,765.64/304,165.76 = 53,005.69/x
  3. Step 3: Cross multiply
    202,765.64x = 304,165.76 × 53,005.69
  4. Step 4: Simplify right side
    202,765.64x = 16,122,515,983.17
  5. Step 5: Solve for x
    x = 16,122,515,983.17/202,765.64
  6. Step 6: Final answer
    x = 79,513.06

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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.