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Finding the Fourth Proportional to 170,883.66, 234,106.72 and 164,494.56

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Solution

The fourth proportional to 170,883.66, 234,106.72 and 164,494.56 is: 225,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,883.66 : 234,106.72 = 164,494.56 : x
  2. Step 2: Convert to fraction form
    170,883.66/234,106.72 = 164,494.56/x
  3. Step 3: Cross multiply
    170,883.66x = 234,106.72 × 164,494.56
  4. Step 4: Simplify right side
    170,883.66x = 38,509,281,899.44
  5. Step 5: Solve for x
    x = 38,509,281,899.44/170,883.66
  6. Step 6: Final answer
    x = 225,353.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.