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Finding the Fourth Proportional to 133,584.36, 184,329.54 and 106,429.32

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Solution

The fourth proportional to 133,584.36, 184,329.54 and 106,429.32 is: 146,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,584.36 : 184,329.54 = 106,429.32 : x
  2. Step 2: Convert to fraction form
    133,584.36/184,329.54 = 106,429.32/x
  3. Step 3: Cross multiply
    133,584.36x = 184,329.54 × 106,429.32
  4. Step 4: Simplify right side
    133,584.36x = 19,618,067,598.11
  5. Step 5: Solve for x
    x = 19,618,067,598.11/133,584.36
  6. Step 6: Final answer
    x = 146,859.02

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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.