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Finding the Fourth Proportional to 218,176.40, 327,264.60 and 113,027.60

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Solution

The fourth proportional to 218,176.40, 327,264.60 and 113,027.60 is: 169,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,176.40 : 327,264.60 = 113,027.60 : x
  2. Step 2: Convert to fraction form
    218,176.40/327,264.60 = 113,027.60/x
  3. Step 3: Cross multiply
    218,176.40x = 327,264.60 × 113,027.60
  4. Step 4: Simplify right side
    218,176.40x = 36,989,932,302.96
  5. Step 5: Solve for x
    x = 36,989,932,302.96/218,176.40
  6. Step 6: Final answer
    x = 169,541.40

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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.