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Finding the Fourth Proportional to 261,765.29, 392,709.47 and 84,265.67

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Solution

The fourth proportional to 261,765.29, 392,709.47 and 84,265.67 is: 126,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,765.29 : 392,709.47 = 84,265.67 : x
  2. Step 2: Convert to fraction form
    261,765.29/392,709.47 = 84,265.67/x
  3. Step 3: Cross multiply
    261,765.29x = 392,709.47 × 84,265.67
  4. Step 4: Simplify right side
    261,765.29x = 33,091,924,220.02
  5. Step 5: Solve for x
    x = 33,091,924,220.02/261,765.29
  6. Step 6: Final answer
    x = 126,418.31

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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.