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Finding the Fourth Proportional to 133,654.83, 184,448.75 and 76,303.49

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Solution

The fourth proportional to 133,654.83, 184,448.75 and 76,303.49 is: 105,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654.83 : 184,448.75 = 76,303.49 : x
  2. Step 2: Convert to fraction form
    133,654.83/184,448.75 = 76,303.49/x
  3. Step 3: Cross multiply
    133,654.83x = 184,448.75 × 76,303.49
  4. Step 4: Simplify right side
    133,654.83x = 14,074,082,047.38
  5. Step 5: Solve for x
    x = 14,074,082,047.38/133,654.83
  6. Step 6: Final answer
    x = 105,301.71

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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.