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Finding the Fourth Proportional to 178,654.44, 267,746.94 and 99,805.80

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Solution

The fourth proportional to 178,654.44, 267,746.94 and 99,805.80 is: 149,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,654.44 : 267,746.94 = 99,805.80 : x
  2. Step 2: Convert to fraction form
    178,654.44/267,746.94 = 99,805.80/x
  3. Step 3: Cross multiply
    178,654.44x = 267,746.94 × 99,805.80
  4. Step 4: Simplify right side
    178,654.44x = 26,722,697,544.25
  5. Step 5: Solve for x
    x = 26,722,697,544.25/178,654.44
  6. Step 6: Final answer
    x = 149,577.57

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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.