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Finding the Fourth Proportional to 133,464.96, 200,255.76 and 103,838.40

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Solution

The fourth proportional to 133,464.96, 200,255.76 and 103,838.40 is: 155,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,464.96 : 200,255.76 = 103,838.40 : x
  2. Step 2: Convert to fraction form
    133,464.96/200,255.76 = 103,838.40/x
  3. Step 3: Cross multiply
    133,464.96x = 200,255.76 × 103,838.40
  4. Step 4: Simplify right side
    133,464.96x = 20,794,237,709.18
  5. Step 5: Solve for x
    x = 20,794,237,709.18/133,464.96
  6. Step 6: Final answer
    x = 155,802.97

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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.