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Finding the Fourth Proportional to 362,065.56, 543,098.34 and 112,767

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Solution

The fourth proportional to 362,065.56, 543,098.34 and 112,767 is: 169,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,065.56 : 543,098.34 = 112,767 : x
  2. Step 2: Convert to fraction form
    362,065.56/543,098.34 = 112,767/x
  3. Step 3: Cross multiply
    362,065.56x = 543,098.34 × 112,767
  4. Step 4: Simplify right side
    362,065.56x = 61,243,570,506.78
  5. Step 5: Solve for x
    x = 61,243,570,506.78/362,065.56
  6. Step 6: Final answer
    x = 169,150.50

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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.