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Finding the Fourth Proportional to 170,590.81, 255,896.34 and 52,263.31

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Solution

The fourth proportional to 170,590.81, 255,896.34 and 52,263.31 is: 78,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,590.81 : 255,896.34 = 52,263.31 : x
  2. Step 2: Convert to fraction form
    170,590.81/255,896.34 = 52,263.31/x
  3. Step 3: Cross multiply
    170,590.81x = 255,896.34 × 52,263.31
  4. Step 4: Simplify right side
    170,590.81x = 13,373,989,745.29
  5. Step 5: Solve for x
    x = 13,373,989,745.29/170,590.81
  6. Step 6: Final answer
    x = 78,398.07

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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.