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Finding the Fourth Proportional to 170,735.80, 256,142.10 and 52,412.60

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Solution

The fourth proportional to 170,735.80, 256,142.10 and 52,412.60 is: 78,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,735.80 : 256,142.10 = 52,412.60 : x
  2. Step 2: Convert to fraction form
    170,735.80/256,142.10 = 52,412.60/x
  3. Step 3: Cross multiply
    170,735.80x = 256,142.10 × 52,412.60
  4. Step 4: Simplify right side
    170,735.80x = 13,425,073,430.46
  5. Step 5: Solve for x
    x = 13,425,073,430.46/170,735.80
  6. Step 6: Final answer
    x = 78,630.69

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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.