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Finding the Fourth Proportional to 170,458.56, 255,697.92 and 52,138.08

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Solution

The fourth proportional to 170,458.56, 255,697.92 and 52,138.08 is: 78,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,458.56 : 255,697.92 = 52,138.08 : x
  2. Step 2: Convert to fraction form
    170,458.56/255,697.92 = 52,138.08/x
  3. Step 3: Cross multiply
    170,458.56x = 255,697.92 × 52,138.08
  4. Step 4: Simplify right side
    170,458.56x = 13,331,598,608.79
  5. Step 5: Solve for x
    x = 13,331,598,608.79/170,458.56
  6. Step 6: Final answer
    x = 78,210.20

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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.