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Finding the Fourth Proportional to 219,265.38, 302,564.43 and 123,753.69

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Solution

The fourth proportional to 219,265.38, 302,564.43 and 123,753.69 is: 170,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,265.38 : 302,564.43 = 123,753.69 : x
  2. Step 2: Convert to fraction form
    219,265.38/302,564.43 = 123,753.69/x
  3. Step 3: Cross multiply
    219,265.38x = 302,564.43 × 123,753.69
  4. Step 4: Simplify right side
    219,265.38x = 37,443,464,675.25
  5. Step 5: Solve for x
    x = 37,443,464,675.25/219,265.38
  6. Step 6: Final answer
    x = 170,767.79

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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.