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Finding the Fourth Proportional to 178,060.80, 266,961.60 and 72,825.60

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Solution

The fourth proportional to 178,060.80, 266,961.60 and 72,825.60 is: 109,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,060.80 : 266,961.60 = 72,825.60 : x
  2. Step 2: Convert to fraction form
    178,060.80/266,961.60 = 72,825.60/x
  3. Step 3: Cross multiply
    178,060.80x = 266,961.60 × 72,825.60
  4. Step 4: Simplify right side
    178,060.80x = 19,441,638,696.96
  5. Step 5: Solve for x
    x = 19,441,638,696.96/178,060.80
  6. Step 6: Final answer
    x = 109,185.39

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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.