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Finding the Fourth Proportional to 223,890.48, 335,709.36 and 83,592

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Solution

The fourth proportional to 223,890.48, 335,709.36 and 83,592 is: 125,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,890.48 : 335,709.36 = 83,592 : x
  2. Step 2: Convert to fraction form
    223,890.48/335,709.36 = 83,592/x
  3. Step 3: Cross multiply
    223,890.48x = 335,709.36 × 83,592
  4. Step 4: Simplify right side
    223,890.48x = 28,062,616,821.12
  5. Step 5: Solve for x
    x = 28,062,616,821.12/223,890.48
  6. Step 6: Final answer
    x = 125,340.82

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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.