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Finding the Fourth Proportional to 133,693.65, 184,581.12 and 86,029.83

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Solution

The fourth proportional to 133,693.65, 184,581.12 and 86,029.83 is: 118,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,693.65 : 184,581.12 = 86,029.83 : x
  2. Step 2: Convert to fraction form
    133,693.65/184,581.12 = 86,029.83/x
  3. Step 3: Cross multiply
    133,693.65x = 184,581.12 × 86,029.83
  4. Step 4: Simplify right side
    133,693.65x = 15,879,481,451.90
  5. Step 5: Solve for x
    x = 15,879,481,451.90/133,693.65
  6. Step 6: Final answer
    x = 118,775.14

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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.