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Finding the Fourth Proportional to 164,034.53, 245,493.88 and 100,821.32

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Solution

The fourth proportional to 164,034.53, 245,493.88 and 100,821.32 is: 150,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034.53 : 245,493.88 = 100,821.32 : x
  2. Step 2: Convert to fraction form
    164,034.53/245,493.88 = 100,821.32/x
  3. Step 3: Cross multiply
    164,034.53x = 245,493.88 × 100,821.32
  4. Step 4: Simplify right side
    164,034.53x = 24,751,017,033.52
  5. Step 5: Solve for x
    x = 24,751,017,033.52/164,034.53
  6. Step 6: Final answer
    x = 150,889.07

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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.