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Finding the Fourth Proportional to 178,385.82, 267,623.36 and 125,897.82

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Solution

The fourth proportional to 178,385.82, 267,623.36 and 125,897.82 is: 188,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,385.82 : 267,623.36 = 125,897.82 : x
  2. Step 2: Convert to fraction form
    178,385.82/267,623.36 = 125,897.82/x
  3. Step 3: Cross multiply
    178,385.82x = 267,623.36 × 125,897.82
  4. Step 4: Simplify right side
    178,385.82x = 33,693,196,975.59
  5. Step 5: Solve for x
    x = 33,693,196,975.59/178,385.82
  6. Step 6: Final answer
    x = 188,878.22

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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.