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Finding the Fourth Proportional to 178,009.60, 267,597.60 and 125,780.80

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Solution

The fourth proportional to 178,009.60, 267,597.60 and 125,780.80 is: 189,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,009.60 : 267,597.60 = 125,780.80 : x
  2. Step 2: Convert to fraction form
    178,009.60/267,597.60 = 125,780.80/x
  3. Step 3: Cross multiply
    178,009.60x = 267,597.60 × 125,780.80
  4. Step 4: Simplify right side
    178,009.60x = 33,658,640,206.08
  5. Step 5: Solve for x
    x = 33,658,640,206.08/178,009.60
  6. Step 6: Final answer
    x = 189,083.29

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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.