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Finding the Fourth Proportional to 174,053.07, 261,083.25 and 55,724.07

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Solution

The fourth proportional to 174,053.07, 261,083.25 and 55,724.07 is: 83,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,053.07 : 261,083.25 = 55,724.07 : x
  2. Step 2: Convert to fraction form
    174,053.07/261,083.25 = 55,724.07/x
  3. Step 3: Cross multiply
    174,053.07x = 261,083.25 × 55,724.07
  4. Step 4: Simplify right side
    174,053.07x = 14,548,620,809.30
  5. Step 5: Solve for x
    x = 14,548,620,809.30/174,053.07
  6. Step 6: Final answer
    x = 83,587.27

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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.