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Finding the Fourth Proportional to 174,594.54, 261,375.12 and 107,820

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Solution

The fourth proportional to 174,594.54, 261,375.12 and 107,820 is: 161,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,594.54 : 261,375.12 = 107,820 : x
  2. Step 2: Convert to fraction form
    174,594.54/261,375.12 = 107,820/x
  3. Step 3: Cross multiply
    174,594.54x = 261,375.12 × 107,820
  4. Step 4: Simplify right side
    174,594.54x = 28,181,465,438.40
  5. Step 5: Solve for x
    x = 28,181,465,438.40/174,594.54
  6. Step 6: Final answer
    x = 161,410.92

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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.