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Finding the Fourth Proportional to 133,598.09, 200,378.58 and 33,752.13

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Solution

The fourth proportional to 133,598.09, 200,378.58 and 33,752.13 is: 50,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,598.09 : 200,378.58 = 33,752.13 : x
  2. Step 2: Convert to fraction form
    133,598.09/200,378.58 = 33,752.13/x
  3. Step 3: Cross multiply
    133,598.09x = 200,378.58 × 33,752.13
  4. Step 4: Simplify right side
    133,598.09x = 6,763,203,881.38
  5. Step 5: Solve for x
    x = 6,763,203,881.38/133,598.09
  6. Step 6: Final answer
    x = 50,623.51

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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.