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Finding the Fourth Proportional to 133,480, 184,208.16 and 73,864

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Solution

The fourth proportional to 133,480, 184,208.16 and 73,864 is: 101,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,480 : 184,208.16 = 73,864 : x
  2. Step 2: Convert to fraction form
    133,480/184,208.16 = 73,864/x
  3. Step 3: Cross multiply
    133,480x = 184,208.16 × 73,864
  4. Step 4: Simplify right side
    133,480x = 13,606,351,530.24
  5. Step 5: Solve for x
    x = 13,606,351,530.24/133,480
  6. Step 6: Final answer
    x = 101,935.51

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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.