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Finding the Fourth Proportional to 133,564.48, 184,318.56 and 73,948.48

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Solution

The fourth proportional to 133,564.48, 184,318.56 and 73,948.48 is: 102,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,564.48 : 184,318.56 = 73,948.48 : x
  2. Step 2: Convert to fraction form
    133,564.48/184,318.56 = 73,948.48/x
  3. Step 3: Cross multiply
    133,564.48x = 184,318.56 × 73,948.48
  4. Step 4: Simplify right side
    133,564.48x = 13,630,077,347.79
  5. Step 5: Solve for x
    x = 13,630,077,347.79/133,564.48
  6. Step 6: Final answer
    x = 102,048.67

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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.