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Finding the Fourth Proportional to 133,334.82, 200,002.24 and 53,409.08

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Solution

The fourth proportional to 133,334.82, 200,002.24 and 53,409.08 is: 80,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,334.82 : 200,002.24 = 53,409.08 : x
  2. Step 2: Convert to fraction form
    133,334.82/200,002.24 = 53,409.08/x
  3. Step 3: Cross multiply
    133,334.82x = 200,002.24 × 53,409.08
  4. Step 4: Simplify right side
    133,334.82x = 10,681,935,636.34
  5. Step 5: Solve for x
    x = 10,681,935,636.34/133,334.82
  6. Step 6: Final answer
    x = 80,113.62

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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.