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Finding the Fourth Proportional to 362,084.52, 543,130.78 and 109,367.16

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Solution

The fourth proportional to 362,084.52, 543,130.78 and 109,367.16 is: 164,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,084.52 : 543,130.78 = 109,367.16 : x
  2. Step 2: Convert to fraction form
    362,084.52/543,130.78 = 109,367.16/x
  3. Step 3: Cross multiply
    362,084.52x = 543,130.78 × 109,367.16
  4. Step 4: Simplify right side
    362,084.52x = 59,400,670,917.18
  5. Step 5: Solve for x
    x = 59,400,670,917.18/362,084.52
  6. Step 6: Final answer
    x = 164,051.95

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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.