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Finding the Fourth Proportional to 170,138, 255,187.56 and 45,488.72

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Solution

The fourth proportional to 170,138, 255,187.56 and 45,488.72 is: 68,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,138 : 255,187.56 = 45,488.72 : x
  2. Step 2: Convert to fraction form
    170,138/255,187.56 = 45,488.72/x
  3. Step 3: Cross multiply
    170,138x = 255,187.56 × 45,488.72
  4. Step 4: Simplify right side
    170,138x = 11,608,155,464.32
  5. Step 5: Solve for x
    x = 11,608,155,464.32/170,138
  6. Step 6: Final answer
    x = 68,227.88

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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.