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Finding the Fourth Proportional to 174,415.52, 261,649.74 and 74,576

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Solution

The fourth proportional to 174,415.52, 261,649.74 and 74,576 is: 111,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,415.52 : 261,649.74 = 74,576 : x
  2. Step 2: Convert to fraction form
    174,415.52/261,649.74 = 74,576/x
  3. Step 3: Cross multiply
    174,415.52x = 261,649.74 × 74,576
  4. Step 4: Simplify right side
    174,415.52x = 19,512,791,010.24
  5. Step 5: Solve for x
    x = 19,512,791,010.24/174,415.52
  6. Step 6: Final answer
    x = 111,875.31

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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.