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Finding the Fourth Proportional to 174,282.52, 261,009.06 and 100,255

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Solution

The fourth proportional to 174,282.52, 261,009.06 and 100,255 is: 150,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,282.52 : 261,009.06 = 100,255 : x
  2. Step 2: Convert to fraction form
    174,282.52/261,009.06 = 100,255/x
  3. Step 3: Cross multiply
    174,282.52x = 261,009.06 × 100,255
  4. Step 4: Simplify right side
    174,282.52x = 26,167,463,310.30
  5. Step 5: Solve for x
    x = 26,167,463,310.30/174,282.52
  6. Step 6: Final answer
    x = 150,143.93

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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.