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Finding the Fourth Proportional to 119,164.24, 178,749.60 and 36,058.24

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Solution

The fourth proportional to 119,164.24, 178,749.60 and 36,058.24 is: 54,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.24 : 178,749.60 = 36,058.24 : x
  2. Step 2: Convert to fraction form
    119,164.24/178,749.60 = 36,058.24/x
  3. Step 3: Cross multiply
    119,164.24x = 178,749.60 × 36,058.24
  4. Step 4: Simplify right side
    119,164.24x = 6,445,395,976.70
  5. Step 5: Solve for x
    x = 6,445,395,976.70/119,164.24
  6. Step 6: Final answer
    x = 54,088.34

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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.