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Finding the Fourth Proportional to 176,270.80, 264,017.40 and 106,027.60

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Solution

The fourth proportional to 176,270.80, 264,017.40 and 106,027.60 is: 158,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,270.80 : 264,017.40 = 106,027.60 : x
  2. Step 2: Convert to fraction form
    176,270.80/264,017.40 = 106,027.60/x
  3. Step 3: Cross multiply
    176,270.80x = 264,017.40 × 106,027.60
  4. Step 4: Simplify right side
    176,270.80x = 27,993,131,280.24
  5. Step 5: Solve for x
    x = 27,993,131,280.24/176,270.80
  6. Step 6: Final answer
    x = 158,807.54

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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.