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Finding the Fourth Proportional to 178,501.62, 267,387.90 and 99,657.84

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Solution

The fourth proportional to 178,501.62, 267,387.90 and 99,657.84 is: 149,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,501.62 : 267,387.90 = 99,657.84 : x
  2. Step 2: Convert to fraction form
    178,501.62/267,387.90 = 99,657.84/x
  3. Step 3: Cross multiply
    178,501.62x = 267,387.90 × 99,657.84
  4. Step 4: Simplify right side
    178,501.62x = 26,647,300,556.14
  5. Step 5: Solve for x
    x = 26,647,300,556.14/178,501.62
  6. Step 6: Final answer
    x = 149,283.24

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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.