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Finding the Fourth Proportional to 194,539.59, 291,724.64 and 103,335.03

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Solution

The fourth proportional to 194,539.59, 291,724.64 and 103,335.03 is: 154,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,539.59 : 291,724.64 = 103,335.03 : x
  2. Step 2: Convert to fraction form
    194,539.59/291,724.64 = 103,335.03/x
  3. Step 3: Cross multiply
    194,539.59x = 291,724.64 × 103,335.03
  4. Step 4: Simplify right side
    194,539.59x = 30,145,375,003.43
  5. Step 5: Solve for x
    x = 30,145,375,003.43/194,539.59
  6. Step 6: Final answer
    x = 154,957.53

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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.