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Finding the Fourth Proportional to 123,044.30, 184,512.45 and 56,462.30

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Solution

The fourth proportional to 123,044.30, 184,512.45 and 56,462.30 is: 84,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,044.30 : 184,512.45 = 56,462.30 : x
  2. Step 2: Convert to fraction form
    123,044.30/184,512.45 = 56,462.30/x
  3. Step 3: Cross multiply
    123,044.30x = 184,512.45 × 56,462.30
  4. Step 4: Simplify right side
    123,044.30x = 10,417,997,305.64
  5. Step 5: Solve for x
    x = 10,417,997,305.64/123,044.30
  6. Step 6: Final answer
    x = 84,668.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.