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Finding the Fourth Proportional to 362,214.77, 543,269.84 and 122,285.16

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Solution

The fourth proportional to 362,214.77, 543,269.84 and 122,285.16 is: 183,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214.77 : 543,269.84 = 122,285.16 : x
  2. Step 2: Convert to fraction form
    362,214.77/543,269.84 = 122,285.16/x
  3. Step 3: Cross multiply
    362,214.77x = 543,269.84 × 122,285.16
  4. Step 4: Simplify right side
    362,214.77x = 66,433,838,696.15
  5. Step 5: Solve for x
    x = 66,433,838,696.15/362,214.77
  6. Step 6: Final answer
    x = 183,410.08

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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.