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Finding the Fourth Proportional to 169,512, 254,166.51 and 57,189.73

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Solution

The fourth proportional to 169,512, 254,166.51 and 57,189.73 is: 85,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,512 : 254,166.51 = 57,189.73 : x
  2. Step 2: Convert to fraction form
    169,512/254,166.51 = 57,189.73/x
  3. Step 3: Cross multiply
    169,512x = 254,166.51 × 57,189.73
  4. Step 4: Simplify right side
    169,512x = 14,535,714,081.94
  5. Step 5: Solve for x
    x = 14,535,714,081.94/169,512
  6. Step 6: Final answer
    x = 85,750.35

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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.