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Finding the Fourth Proportional to 176,382.40, 264,314.40 and 71,017.60

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Solution

The fourth proportional to 176,382.40, 264,314.40 and 71,017.60 is: 106,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,382.40 : 264,314.40 = 71,017.60 : x
  2. Step 2: Convert to fraction form
    176,382.40/264,314.40 = 71,017.60/x
  3. Step 3: Cross multiply
    176,382.40x = 264,314.40 × 71,017.60
  4. Step 4: Simplify right side
    176,382.40x = 18,770,974,333.44
  5. Step 5: Solve for x
    x = 18,770,974,333.44/176,382.40
  6. Step 6: Final answer
    x = 106,422.04

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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.