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Finding the Fourth Proportional to 157,383.28, 236,023.80 and 52,174

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Solution

The fourth proportional to 157,383.28, 236,023.80 and 52,174 is: 78,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,383.28 : 236,023.80 = 52,174 : x
  2. Step 2: Convert to fraction form
    157,383.28/236,023.80 = 52,174/x
  3. Step 3: Cross multiply
    157,383.28x = 236,023.80 × 52,174
  4. Step 4: Simplify right side
    157,383.28x = 12,314,305,741.20
  5. Step 5: Solve for x
    x = 12,314,305,741.20/157,383.28
  6. Step 6: Final answer
    x = 78,244.05

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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.