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Finding the Fourth Proportional to 193,849.38, 267,510.69 and 107,809.14

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Solution

The fourth proportional to 193,849.38, 267,510.69 and 107,809.14 is: 148,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,849.38 : 267,510.69 = 107,809.14 : x
  2. Step 2: Convert to fraction form
    193,849.38/267,510.69 = 107,809.14/x
  3. Step 3: Cross multiply
    193,849.38x = 267,510.69 × 107,809.14
  4. Step 4: Simplify right side
    193,849.38x = 28,840,097,429.71
  5. Step 5: Solve for x
    x = 28,840,097,429.71/193,849.38
  6. Step 6: Final answer
    x = 148,775.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.