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Finding the Fourth Proportional to 261,576, 392,367.65 and 74,587.50

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Solution

The fourth proportional to 261,576, 392,367.65 and 74,587.50 is: 111,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,576 : 392,367.65 = 74,587.50 : x
  2. Step 2: Convert to fraction form
    261,576/392,367.65 = 74,587.50/x
  3. Step 3: Cross multiply
    261,576x = 392,367.65 × 74,587.50
  4. Step 4: Simplify right side
    261,576x = 29,265,721,721.44
  5. Step 5: Solve for x
    x = 29,265,721,721.44/261,576
  6. Step 6: Final answer
    x = 111,882.29

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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.