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Finding the Fourth Proportional to 274,025.81, 410,005.16 and 161,767.10

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Solution

The fourth proportional to 274,025.81, 410,005.16 and 161,767.10 is: 242,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,025.81 : 410,005.16 = 161,767.10 : x
  2. Step 2: Convert to fraction form
    274,025.81/410,005.16 = 161,767.10/x
  3. Step 3: Cross multiply
    274,025.81x = 410,005.16 × 161,767.10
  4. Step 4: Simplify right side
    274,025.81x = 66,325,344,909.40
  5. Step 5: Solve for x
    x = 66,325,344,909.40/274,025.81
  6. Step 6: Final answer
    x = 242,040.50

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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.