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Finding the Fourth Proportional to 170,411.71, 255,608.22 and 52,082.98

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Solution

The fourth proportional to 170,411.71, 255,608.22 and 52,082.98 is: 78,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,411.71 : 255,608.22 = 52,082.98 : x
  2. Step 2: Convert to fraction form
    170,411.71/255,608.22 = 52,082.98/x
  3. Step 3: Cross multiply
    170,411.71x = 255,608.22 × 52,082.98
  4. Step 4: Simplify right side
    170,411.71x = 13,312,837,810.10
  5. Step 5: Solve for x
    x = 13,312,837,810.10/170,411.71
  6. Step 6: Final answer
    x = 78,121.61

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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.