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Finding the Fourth Proportional to 170,596.16, 255,894.24 and 165,930.56

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Solution

The fourth proportional to 170,596.16, 255,894.24 and 165,930.56 is: 248,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,596.16 : 255,894.24 = 165,930.56 : x
  2. Step 2: Convert to fraction form
    170,596.16/255,894.24 = 165,930.56/x
  3. Step 3: Cross multiply
    170,596.16x = 255,894.24 × 165,930.56
  4. Step 4: Simplify right side
    170,596.16x = 42,460,674,543.97
  5. Step 5: Solve for x
    x = 42,460,674,543.97/170,596.16
  6. Step 6: Final answer
    x = 248,895.84

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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.