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Finding the Fourth Proportional to 133,693.40, 200,540.10 and 107,449.40

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Solution

The fourth proportional to 133,693.40, 200,540.10 and 107,449.40 is: 161,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,693.40 : 200,540.10 = 107,449.40 : x
  2. Step 2: Convert to fraction form
    133,693.40/200,540.10 = 107,449.40/x
  3. Step 3: Cross multiply
    133,693.40x = 200,540.10 × 107,449.40
  4. Step 4: Simplify right side
    133,693.40x = 21,547,913,420.94
  5. Step 5: Solve for x
    x = 21,547,913,420.94/133,693.40
  6. Step 6: Final answer
    x = 161,174.10

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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.