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Finding the Fourth Proportional to 247,588.50, 341,749.92 and 158,164.50

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Solution

The fourth proportional to 247,588.50, 341,749.92 and 158,164.50 is: 218,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,588.50 : 341,749.92 = 158,164.50 : x
  2. Step 2: Convert to fraction form
    247,588.50/341,749.92 = 158,164.50/x
  3. Step 3: Cross multiply
    247,588.50x = 341,749.92 × 158,164.50
  4. Step 4: Simplify right side
    247,588.50x = 54,052,705,221.84
  5. Step 5: Solve for x
    x = 54,052,705,221.84/247,588.50
  6. Step 6: Final answer
    x = 218,316.70

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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.