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Finding the Fourth Proportional to 170,420.54, 255,631.44 and 52,091.42

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Solution

The fourth proportional to 170,420.54, 255,631.44 and 52,091.42 is: 78,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,420.54 : 255,631.44 = 52,091.42 : x
  2. Step 2: Convert to fraction form
    170,420.54/255,631.44 = 52,091.42/x
  3. Step 3: Cross multiply
    170,420.54x = 255,631.44 × 52,091.42
  4. Step 4: Simplify right side
    170,420.54x = 13,316,204,706.24
  5. Step 5: Solve for x
    x = 13,316,204,706.24/170,420.54
  6. Step 6: Final answer
    x = 78,137.32

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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.