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Finding the Fourth Proportional to 199,580.64, 275,420.72 and 110,156

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Solution

The fourth proportional to 199,580.64, 275,420.72 and 110,156 is: 152,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,580.64 : 275,420.72 = 110,156 : x
  2. Step 2: Convert to fraction form
    199,580.64/275,420.72 = 110,156/x
  3. Step 3: Cross multiply
    199,580.64x = 275,420.72 × 110,156
  4. Step 4: Simplify right side
    199,580.64x = 30,339,244,832.32
  5. Step 5: Solve for x
    x = 30,339,244,832.32/199,580.64
  6. Step 6: Final answer
    x = 152,014.97

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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.