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Finding the Fourth Proportional to 178,705.80, 267,828.30 and 136,945.80

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Solution

The fourth proportional to 178,705.80, 267,828.30 and 136,945.80 is: 205,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,705.80 : 267,828.30 = 136,945.80 : x
  2. Step 2: Convert to fraction form
    178,705.80/267,828.30 = 136,945.80/x
  3. Step 3: Cross multiply
    178,705.80x = 267,828.30 × 136,945.80
  4. Step 4: Simplify right side
    178,705.80x = 36,677,960,806.14
  5. Step 5: Solve for x
    x = 36,677,960,806.14/178,705.80
  6. Step 6: Final answer
    x = 205,242.14

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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.