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Finding the Fourth Proportional to 362,048, 543,072.96 and 112,730.24

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Solution

The fourth proportional to 362,048, 543,072.96 and 112,730.24 is: 169,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,048 : 543,072.96 = 112,730.24 : x
  2. Step 2: Convert to fraction form
    362,048/543,072.96 = 112,730.24/x
  3. Step 3: Cross multiply
    362,048x = 543,072.96 × 112,730.24
  4. Step 4: Simplify right side
    362,048x = 61,220,745,118.31
  5. Step 5: Solve for x
    x = 61,220,745,118.31/362,048
  6. Step 6: Final answer
    x = 169,095.66

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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.