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Finding the Fourth Proportional to 194,541, 268,467.06 and 108,505.55

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Solution

The fourth proportional to 194,541, 268,467.06 and 108,505.55 is: 149,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,541 : 268,467.06 = 108,505.55 : x
  2. Step 2: Convert to fraction form
    194,541/268,467.06 = 108,505.55/x
  3. Step 3: Cross multiply
    194,541x = 268,467.06 × 108,505.55
  4. Step 4: Simplify right side
    194,541x = 29,130,165,459.66
  5. Step 5: Solve for x
    x = 29,130,165,459.66/194,541
  6. Step 6: Final answer
    x = 149,737.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.