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Finding the Fourth Proportional to 194,419.32, 268,285.01 and 107,200.55

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Solution

The fourth proportional to 194,419.32, 268,285.01 and 107,200.55 is: 147,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,419.32 : 268,285.01 = 107,200.55 : x
  2. Step 2: Convert to fraction form
    194,419.32/268,285.01 = 107,200.55/x
  3. Step 3: Cross multiply
    194,419.32x = 268,285.01 × 107,200.55
  4. Step 4: Simplify right side
    194,419.32x = 28,760,298,751.33
  5. Step 5: Solve for x
    x = 28,760,298,751.33/194,419.32
  6. Step 6: Final answer
    x = 147,929.22

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