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Finding the Fourth Proportional to 133,395.06, 200,092.93 and 54,509.30

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Solution

The fourth proportional to 133,395.06, 200,092.93 and 54,509.30 is: 81,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,395.06 : 200,092.93 = 54,509.30 : x
  2. Step 2: Convert to fraction form
    133,395.06/200,092.93 = 54,509.30/x
  3. Step 3: Cross multiply
    133,395.06x = 200,092.93 × 54,509.30
  4. Step 4: Simplify right side
    133,395.06x = 10,906,924,412.51
  5. Step 5: Solve for x
    x = 10,906,924,412.51/133,395.06
  6. Step 6: Final answer
    x = 81,764.08

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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.