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Finding the Fourth Proportional to 133,868.66, 184,384.01 and 99,768.06

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Solution

The fourth proportional to 133,868.66, 184,384.01 and 99,768.06 is: 137,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868.66 : 184,384.01 = 99,768.06 : x
  2. Step 2: Convert to fraction form
    133,868.66/184,384.01 = 99,768.06/x
  3. Step 3: Cross multiply
    133,868.66x = 184,384.01 × 99,768.06
  4. Step 4: Simplify right side
    133,868.66x = 18,395,635,222.14
  5. Step 5: Solve for x
    x = 18,395,635,222.14/133,868.66
  6. Step 6: Final answer
    x = 137,415.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.